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Finding the Third Proportional to 385,046 and 598,513

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Solution

The third proportional to 385,046 and 598,513 is: 930,324.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,046 : 598,513 = 598,513 : x
  2. Step 2: Convert to fraction form
    385,046/598,513 = 598,513/x
  3. Step 3: Cross multiply
    385,046x = 598,513 × 598,513
  4. Step 4: Simplify right side
    385,046x = 358,217,811,169
  5. Step 5: Solve for x
    x = 358,217,811,169/385,046
  6. Step 6: Final answer
    x = 930,324.72

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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.