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Finding the Third Proportional to 497,652 and 750,600

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Solution

The third proportional to 497,652 and 750,600 is: 1,132,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,652 : 750,600 = 750,600 : x
  2. Step 2: Convert to fraction form
    497,652/750,600 = 750,600/x
  3. Step 3: Cross multiply
    497,652x = 750,600 × 750,600
  4. Step 4: Simplify right side
    497,652x = 563,400,360,000
  5. Step 5: Solve for x
    x = 563,400,360,000/497,652
  6. Step 6: Final answer
    x = 1,132,117.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.