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Finding the Third Proportional to 671,071.50 and 1,016,382

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Solution

The third proportional to 671,071.50 and 1,016,382 is: 1,539,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,071.50 : 1,016,382 = 1,016,382 : x
  2. Step 2: Convert to fraction form
    671,071.50/1,016,382 = 1,016,382/x
  3. Step 3: Cross multiply
    671,071.50x = 1,016,382 × 1,016,382
  4. Step 4: Simplify right side
    671,071.50x = 1,033,032,369,924
  5. Step 5: Solve for x
    x = 1,033,032,369,924/671,071.50
  6. Step 6: Final answer
    x = 1,539,377.50

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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.