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Finding the Third Proportional to 385,042 and 598,507

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Solution

The third proportional to 385,042 and 598,507 is: 930,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,042 : 598,507 = 598,507 : x
  2. Step 2: Convert to fraction form
    385,042/598,507 = 598,507/x
  3. Step 3: Cross multiply
    385,042x = 598,507 × 598,507
  4. Step 4: Simplify right side
    385,042x = 358,210,629,049
  5. Step 5: Solve for x
    x = 358,210,629,049/385,042
  6. Step 6: Final answer
    x = 930,315.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.