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Finding the Third Proportional to 561,090 and 847,528.50

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Solution

The third proportional to 561,090 and 847,528.50 is: 1,280,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,090 : 847,528.50 = 847,528.50 : x
  2. Step 2: Convert to fraction form
    561,090/847,528.50 = 847,528.50/x
  3. Step 3: Cross multiply
    561,090x = 847,528.50 × 847,528.50
  4. Step 4: Simplify right side
    561,090x = 718,304,558,312.25
  5. Step 5: Solve for x
    x = 718,304,558,312.25/561,090
  6. Step 6: Final answer
    x = 1,280,194.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.