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Finding the Third Proportional to 448,390,486.69 and 631,157,461.17

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Solution

The third proportional to 448,390,486.69 and 631,157,461.17 is: 888,421,482.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,390,486.69 : 631,157,461.17 = 631,157,461.17 : x
  2. Step 2: Convert to fraction form
    448,390,486.69/631,157,461.17 = 631,157,461.17/x
  3. Step 3: Cross multiply
    448,390,486.69x = 631,157,461.17 × 631,157,461.17
  4. Step 4: Simplify right side
    448,390,486.69x = 398,359,740,792,933,248
  5. Step 5: Solve for x
    x = 398,359,740,792,933,248/448,390,486.69
  6. Step 6: Final answer
    x = 888,421,482.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.