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Finding the Third Proportional to 563,608.13 and 873,706.50

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Solution

The third proportional to 563,608.13 and 873,706.50 is: 1,354,421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,608.13 : 873,706.50 = 873,706.50 : x
  2. Step 2: Convert to fraction form
    563,608.13/873,706.50 = 873,706.50/x
  3. Step 3: Cross multiply
    563,608.13x = 873,706.50 × 873,706.50
  4. Step 4: Simplify right side
    563,608.13x = 763,363,048,142.25
  5. Step 5: Solve for x
    x = 763,363,048,142.25/563,608.13
  6. Step 6: Final answer
    x = 1,354,421.65

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