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Finding the Third Proportional to 254,434,396 and 553,922,768

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Solution

The third proportional to 254,434,396 and 553,922,768 is: 1,205,931,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,434,396 : 553,922,768 = 553,922,768 : x
  2. Step 2: Convert to fraction form
    254,434,396/553,922,768 = 553,922,768/x
  3. Step 3: Cross multiply
    254,434,396x = 553,922,768 × 553,922,768
  4. Step 4: Simplify right side
    254,434,396x = 306,830,432,908,781,824
  5. Step 5: Solve for x
    x = 306,830,432,908,781,824/254,434,396
  6. Step 6: Final answer
    x = 1,205,931,421.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.