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Finding the Third Proportional to 377,929.50 and 572,893

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Solution

The third proportional to 377,929.50 and 572,893 is: 868,432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,929.50 : 572,893 = 572,893 : x
  2. Step 2: Convert to fraction form
    377,929.50/572,893 = 572,893/x
  3. Step 3: Cross multiply
    377,929.50x = 572,893 × 572,893
  4. Step 4: Simplify right side
    377,929.50x = 328,206,389,449
  5. Step 5: Solve for x
    x = 328,206,389,449/377,929.50
  6. Step 6: Final answer
    x = 868,432.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.