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Finding the Third Proportional to 316,947.94 and 692,123.06

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Solution

The third proportional to 316,947.94 and 692,123.06 is: 1,511,397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,947.94 : 692,123.06 = 692,123.06 : x
  2. Step 2: Convert to fraction form
    316,947.94/692,123.06 = 692,123.06/x
  3. Step 3: Cross multiply
    316,947.94x = 692,123.06 × 692,123.06
  4. Step 4: Simplify right side
    316,947.94x = 479,034,333,644.38
  5. Step 5: Solve for x
    x = 479,034,333,644.38/316,947.94
  6. Step 6: Final answer
    x = 1,511,397.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.