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Finding the Third Proportional to 277,456.50 and 598,617

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Solution

The third proportional to 277,456.50 and 598,617 is: 1,291,526.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,456.50 : 598,617 = 598,617 : x
  2. Step 2: Convert to fraction form
    277,456.50/598,617 = 598,617/x
  3. Step 3: Cross multiply
    277,456.50x = 598,617 × 598,617
  4. Step 4: Simplify right side
    277,456.50x = 358,342,312,689
  5. Step 5: Solve for x
    x = 358,342,312,689/277,456.50
  6. Step 6: Final answer
    x = 1,291,526.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.