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Finding the Third Proportional to 364,724 and 586,007

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Solution

The third proportional to 364,724 and 586,007 is: 941,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,724 : 586,007 = 586,007 : x
  2. Step 2: Convert to fraction form
    364,724/586,007 = 586,007/x
  3. Step 3: Cross multiply
    364,724x = 586,007 × 586,007
  4. Step 4: Simplify right side
    364,724x = 343,404,204,049
  5. Step 5: Solve for x
    x = 343,404,204,049/364,724
  6. Step 6: Final answer
    x = 941,545.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.