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Finding the Third Proportional to 445,506 and 731,365

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Solution

The third proportional to 445,506 and 731,365 is: 1,200,645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,506 : 731,365 = 731,365 : x
  2. Step 2: Convert to fraction form
    445,506/731,365 = 731,365/x
  3. Step 3: Cross multiply
    445,506x = 731,365 × 731,365
  4. Step 4: Simplify right side
    445,506x = 534,894,763,225
  5. Step 5: Solve for x
    x = 534,894,763,225/445,506
  6. Step 6: Final answer
    x = 1,200,645.48

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.