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Finding the Third Proportional to 698,895.38 and 956,382

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Solution

The third proportional to 698,895.38 and 956,382 is: 1,308,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,895.38 : 956,382 = 956,382 : x
  2. Step 2: Convert to fraction form
    698,895.38/956,382 = 956,382/x
  3. Step 3: Cross multiply
    698,895.38x = 956,382 × 956,382
  4. Step 4: Simplify right side
    698,895.38x = 914,666,529,924
  5. Step 5: Solve for x
    x = 914,666,529,924/698,895.38
  6. Step 6: Final answer
    x = 1,308,731.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.