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Finding the Third Proportional to 478,588.50 and 750,870

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Solution

The third proportional to 478,588.50 and 750,870 is: 1,178,059.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,588.50 : 750,870 = 750,870 : x
  2. Step 2: Convert to fraction form
    478,588.50/750,870 = 750,870/x
  3. Step 3: Cross multiply
    478,588.50x = 750,870 × 750,870
  4. Step 4: Simplify right side
    478,588.50x = 563,805,756,900
  5. Step 5: Solve for x
    x = 563,805,756,900/478,588.50
  6. Step 6: Final answer
    x = 1,178,059.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.