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Finding the Third Proportional to 390,068 and 582,528

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Solution

The third proportional to 390,068 and 582,528 is: 869,947.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,068 : 582,528 = 582,528 : x
  2. Step 2: Convert to fraction form
    390,068/582,528 = 582,528/x
  3. Step 3: Cross multiply
    390,068x = 582,528 × 582,528
  4. Step 4: Simplify right side
    390,068x = 339,338,870,784
  5. Step 5: Solve for x
    x = 339,338,870,784/390,068
  6. Step 6: Final answer
    x = 869,947.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.