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Finding the Third Proportional to 451,354 and 714,022

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Solution

The third proportional to 451,354 and 714,022 is: 1,129,551.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,354 : 714,022 = 714,022 : x
  2. Step 2: Convert to fraction form
    451,354/714,022 = 714,022/x
  3. Step 3: Cross multiply
    451,354x = 714,022 × 714,022
  4. Step 4: Simplify right side
    451,354x = 509,827,416,484
  5. Step 5: Solve for x
    x = 509,827,416,484/451,354
  6. Step 6: Final answer
    x = 1,129,551.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.