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Finding the Third Proportional to 732,523.50 and 1,088,154

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Solution

The third proportional to 732,523.50 and 1,088,154 is: 1,616,438.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,523.50 : 1,088,154 = 1,088,154 : x
  2. Step 2: Convert to fraction form
    732,523.50/1,088,154 = 1,088,154/x
  3. Step 3: Cross multiply
    732,523.50x = 1,088,154 × 1,088,154
  4. Step 4: Simplify right side
    732,523.50x = 1,184,079,127,716
  5. Step 5: Solve for x
    x = 1,184,079,127,716/732,523.50
  6. Step 6: Final answer
    x = 1,616,438.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.