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Finding the Third Proportional to 435,444 and 659,730

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Solution

The third proportional to 435,444 and 659,730 is: 999,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,444 : 659,730 = 659,730 : x
  2. Step 2: Convert to fraction form
    435,444/659,730 = 659,730/x
  3. Step 3: Cross multiply
    435,444x = 659,730 × 659,730
  4. Step 4: Simplify right side
    435,444x = 435,243,672,900
  5. Step 5: Solve for x
    x = 435,243,672,900/435,444
  6. Step 6: Final answer
    x = 999,539.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.