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Finding the Third Proportional to 546,958.50 and 865,389

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Solution

The third proportional to 546,958.50 and 865,389 is: 1,369,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,958.50 : 865,389 = 865,389 : x
  2. Step 2: Convert to fraction form
    546,958.50/865,389 = 865,389/x
  3. Step 3: Cross multiply
    546,958.50x = 865,389 × 865,389
  4. Step 4: Simplify right side
    546,958.50x = 748,898,121,321
  5. Step 5: Solve for x
    x = 748,898,121,321/546,958.50
  6. Step 6: Final answer
    x = 1,369,204.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.