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Finding the Third Proportional to 261,228 and 390,829

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Solution

The third proportional to 261,228 and 390,829 is: 584,727.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,228 : 390,829 = 390,829 : x
  2. Step 2: Convert to fraction form
    261,228/390,829 = 390,829/x
  3. Step 3: Cross multiply
    261,228x = 390,829 × 390,829
  4. Step 4: Simplify right side
    261,228x = 152,747,307,241
  5. Step 5: Solve for x
    x = 152,747,307,241/261,228
  6. Step 6: Final answer
    x = 584,727.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.