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Finding the Third Proportional to 497,506 and 750,421

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Solution

The third proportional to 497,506 and 750,421 is: 1,131,909.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,506 : 750,421 = 750,421 : x
  2. Step 2: Convert to fraction form
    497,506/750,421 = 750,421/x
  3. Step 3: Cross multiply
    497,506x = 750,421 × 750,421
  4. Step 4: Simplify right side
    497,506x = 563,131,677,241
  5. Step 5: Solve for x
    x = 563,131,677,241/497,506
  6. Step 6: Final answer
    x = 1,131,909.32

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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.