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Finding the Third Proportional to 407,157 and 598,572

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Solution

The third proportional to 407,157 and 598,572 is: 879,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,157 : 598,572 = 598,572 : x
  2. Step 2: Convert to fraction form
    407,157/598,572 = 598,572/x
  3. Step 3: Cross multiply
    407,157x = 598,572 × 598,572
  4. Step 4: Simplify right side
    407,157x = 358,288,439,184
  5. Step 5: Solve for x
    x = 358,288,439,184/407,157
  6. Step 6: Final answer
    x = 879,976.13

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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.