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Finding the Third Proportional to 362,985.50 and 563,893

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Solution

The third proportional to 362,985.50 and 563,893 is: 876,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,985.50 : 563,893 = 563,893 : x
  2. Step 2: Convert to fraction form
    362,985.50/563,893 = 563,893/x
  3. Step 3: Cross multiply
    362,985.50x = 563,893 × 563,893
  4. Step 4: Simplify right side
    362,985.50x = 317,975,315,449
  5. Step 5: Solve for x
    x = 317,975,315,449/362,985.50
  6. Step 6: Final answer
    x = 876,000.05

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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.