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Finding the Third Proportional to 407,557.13 and 598,864.50

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Solution

The third proportional to 407,557.13 and 598,864.50 is: 879,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,557.13 : 598,864.50 = 598,864.50 : x
  2. Step 2: Convert to fraction form
    407,557.13/598,864.50 = 598,864.50/x
  3. Step 3: Cross multiply
    407,557.13x = 598,864.50 × 598,864.50
  4. Step 4: Simplify right side
    407,557.13x = 358,638,689,360.25
  5. Step 5: Solve for x
    x = 358,638,689,360.25/407,557.13
  6. Step 6: Final answer
    x = 879,971.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.