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Finding the Third Proportional to 497,509 and 750,426

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Solution

The third proportional to 497,509 and 750,426 is: 1,131,917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,509 : 750,426 = 750,426 : x
  2. Step 2: Convert to fraction form
    497,509/750,426 = 750,426/x
  3. Step 3: Cross multiply
    497,509x = 750,426 × 750,426
  4. Step 4: Simplify right side
    497,509x = 563,139,181,476
  5. Step 5: Solve for x
    x = 563,139,181,476/497,509
  6. Step 6: Final answer
    x = 1,131,917.58

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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.