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Finding the Third Proportional to 371,046 and 813,106.50

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Solution

The third proportional to 371,046 and 813,106.50 is: 1,781,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,046 : 813,106.50 = 813,106.50 : x
  2. Step 2: Convert to fraction form
    371,046/813,106.50 = 813,106.50/x
  3. Step 3: Cross multiply
    371,046x = 813,106.50 × 813,106.50
  4. Step 4: Simplify right side
    371,046x = 661,142,180,342.25
  5. Step 5: Solve for x
    x = 661,142,180,342.25/371,046
  6. Step 6: Final answer
    x = 1,781,833.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.