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Finding the Third Proportional to 454,464 and 702,972

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Solution

The third proportional to 454,464 and 702,972 is: 1,087,368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,464 : 702,972 = 702,972 : x
  2. Step 2: Convert to fraction form
    454,464/702,972 = 702,972/x
  3. Step 3: Cross multiply
    454,464x = 702,972 × 702,972
  4. Step 4: Simplify right side
    454,464x = 494,169,632,784
  5. Step 5: Solve for x
    x = 494,169,632,784/454,464
  6. Step 6: Final answer
    x = 1,087,368.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.