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Finding the Third Proportional to 369,565 and 514,897

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Solution

The third proportional to 369,565 and 514,897 is: 717,381.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,565 : 514,897 = 514,897 : x
  2. Step 2: Convert to fraction form
    369,565/514,897 = 514,897/x
  3. Step 3: Cross multiply
    369,565x = 514,897 × 514,897
  4. Step 4: Simplify right side
    369,565x = 265,118,920,609
  5. Step 5: Solve for x
    x = 265,118,920,609/369,565
  6. Step 6: Final answer
    x = 717,381.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.