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Finding the Third Proportional to 582,646.50 and 915,529.50

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Solution

The third proportional to 582,646.50 and 915,529.50 is: 1,438,598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,646.50 : 915,529.50 = 915,529.50 : x
  2. Step 2: Convert to fraction form
    582,646.50/915,529.50 = 915,529.50/x
  3. Step 3: Cross multiply
    582,646.50x = 915,529.50 × 915,529.50
  4. Step 4: Simplify right side
    582,646.50x = 838,194,265,370.25
  5. Step 5: Solve for x
    x = 838,194,265,370.25/582,646.50
  6. Step 6: Final answer
    x = 1,438,598.30

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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.