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Finding the Third Proportional to 357,041 and 489,585

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Solution

The third proportional to 357,041 and 489,585 is: 671,333.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,041 : 489,585 = 489,585 : x
  2. Step 2: Convert to fraction form
    357,041/489,585 = 489,585/x
  3. Step 3: Cross multiply
    357,041x = 489,585 × 489,585
  4. Step 4: Simplify right side
    357,041x = 239,693,472,225
  5. Step 5: Solve for x
    x = 239,693,472,225/357,041
  6. Step 6: Final answer
    x = 671,333.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.