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Finding the Third Proportional to 448,502 and 713,213

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Solution

The third proportional to 448,502 and 713,213 is: 1,134,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,502 : 713,213 = 713,213 : x
  2. Step 2: Convert to fraction form
    448,502/713,213 = 713,213/x
  3. Step 3: Cross multiply
    448,502x = 713,213 × 713,213
  4. Step 4: Simplify right side
    448,502x = 508,672,783,369
  5. Step 5: Solve for x
    x = 508,672,783,369/448,502
  6. Step 6: Final answer
    x = 1,134,159.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.