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Finding the Third Proportional to 407,029 and 598,348

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Solution

The third proportional to 407,029 and 598,348 is: 879,594.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,029 : 598,348 = 598,348 : x
  2. Step 2: Convert to fraction form
    407,029/598,348 = 598,348/x
  3. Step 3: Cross multiply
    407,029x = 598,348 × 598,348
  4. Step 4: Simplify right side
    407,029x = 358,020,329,104
  5. Step 5: Solve for x
    x = 358,020,329,104/407,029
  6. Step 6: Final answer
    x = 879,594.15

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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.