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Finding the Third Proportional to 581,646.23 and 873,084.45

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Solution

The third proportional to 581,646.23 and 873,084.45 is: 1,310,549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,646.23 : 873,084.45 = 873,084.45 : x
  2. Step 2: Convert to fraction form
    581,646.23/873,084.45 = 873,084.45/x
  3. Step 3: Cross multiply
    581,646.23x = 873,084.45 × 873,084.45
  4. Step 4: Simplify right side
    581,646.23x = 762,276,448,646.64
  5. Step 5: Solve for x
    x = 762,276,448,646.64/581,646.23
  6. Step 6: Final answer
    x = 1,310,549.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.