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Finding the Third Proportional to 532,323 and 804,001.50

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Solution

The third proportional to 532,323 and 804,001.50 is: 1,214,334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,323 : 804,001.50 = 804,001.50 : x
  2. Step 2: Convert to fraction form
    532,323/804,001.50 = 804,001.50/x
  3. Step 3: Cross multiply
    532,323x = 804,001.50 × 804,001.50
  4. Step 4: Simplify right side
    532,323x = 646,418,412,002.25
  5. Step 5: Solve for x
    x = 646,418,412,002.25/532,323
  6. Step 6: Final answer
    x = 1,214,334.93

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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.