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Finding the Third Proportional to 487,749 and 750,645

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Solution

The third proportional to 487,749 and 750,645 is: 1,155,241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,749 : 750,645 = 750,645 : x
  2. Step 2: Convert to fraction form
    487,749/750,645 = 750,645/x
  3. Step 3: Cross multiply
    487,749x = 750,645 × 750,645
  4. Step 4: Simplify right side
    487,749x = 563,467,916,025
  5. Step 5: Solve for x
    x = 563,467,916,025/487,749
  6. Step 6: Final answer
    x = 1,155,241.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.