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Finding the Third Proportional to 451,362 and 714,033

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Solution

The third proportional to 451,362 and 714,033 is: 1,129,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,362 : 714,033 = 714,033 : x
  2. Step 2: Convert to fraction form
    451,362/714,033 = 714,033/x
  3. Step 3: Cross multiply
    451,362x = 714,033 × 714,033
  4. Step 4: Simplify right side
    451,362x = 509,843,125,089
  5. Step 5: Solve for x
    x = 509,843,125,089/451,362
  6. Step 6: Final answer
    x = 1,129,565.90

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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.