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Finding the Third Proportional to 443,364 and 687,916.50

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Solution

The third proportional to 443,364 and 687,916.50 is: 1,067,360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,364 : 687,916.50 = 687,916.50 : x
  2. Step 2: Convert to fraction form
    443,364/687,916.50 = 687,916.50/x
  3. Step 3: Cross multiply
    443,364x = 687,916.50 × 687,916.50
  4. Step 4: Simplify right side
    443,364x = 473,229,110,972.25
  5. Step 5: Solve for x
    x = 473,229,110,972.25/443,364
  6. Step 6: Final answer
    x = 1,067,360.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.