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Finding the Third Proportional to 402,466 and 874,818.50

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Solution

The third proportional to 402,466 and 874,818.50 is: 1,901,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,466 : 874,818.50 = 874,818.50 : x
  2. Step 2: Convert to fraction form
    402,466/874,818.50 = 874,818.50/x
  3. Step 3: Cross multiply
    402,466x = 874,818.50 × 874,818.50
  4. Step 4: Simplify right side
    402,466x = 765,307,407,942.25
  5. Step 5: Solve for x
    x = 765,307,407,942.25/402,466
  6. Step 6: Final answer
    x = 1,901,545.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.