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Finding the Third Proportional to 374,382 and 508,032

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Solution

The third proportional to 374,382 and 508,032 is: 689,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,382 : 508,032 = 508,032 : x
  2. Step 2: Convert to fraction form
    374,382/508,032 = 508,032/x
  3. Step 3: Cross multiply
    374,382x = 508,032 × 508,032
  4. Step 4: Simplify right side
    374,382x = 258,096,513,024
  5. Step 5: Solve for x
    x = 258,096,513,024/374,382
  6. Step 6: Final answer
    x = 689,393.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.