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Finding the Third Proportional to 497,594 and 748,887

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Solution

The third proportional to 497,594 and 748,887 is: 1,127,087.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,594 : 748,887 = 748,887 : x
  2. Step 2: Convert to fraction form
    497,594/748,887 = 748,887/x
  3. Step 3: Cross multiply
    497,594x = 748,887 × 748,887
  4. Step 4: Simplify right side
    497,594x = 560,831,738,769
  5. Step 5: Solve for x
    x = 560,831,738,769/497,594
  6. Step 6: Final answer
    x = 1,127,087.02

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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.