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Finding the Third Proportional to 289,167.50 and 626,598

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Solution

The third proportional to 289,167.50 and 626,598 is: 1,357,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,167.50 : 626,598 = 626,598 : x
  2. Step 2: Convert to fraction form
    289,167.50/626,598 = 626,598/x
  3. Step 3: Cross multiply
    289,167.50x = 626,598 × 626,598
  4. Step 4: Simplify right side
    289,167.50x = 392,625,053,604
  5. Step 5: Solve for x
    x = 392,625,053,604/289,167.50
  6. Step 6: Final answer
    x = 1,357,777.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.