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Finding the Third Proportional to 432,088 and 633,540

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Solution

The third proportional to 432,088 and 633,540 is: 928,914.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,088 : 633,540 = 633,540 : x
  2. Step 2: Convert to fraction form
    432,088/633,540 = 633,540/x
  3. Step 3: Cross multiply
    432,088x = 633,540 × 633,540
  4. Step 4: Simplify right side
    432,088x = 401,372,931,600
  5. Step 5: Solve for x
    x = 401,372,931,600/432,088
  6. Step 6: Final answer
    x = 928,914.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.