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Finding the Third Proportional to 310,510.97 and 468,718.31

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Solution

The third proportional to 310,510.97 and 468,718.31 is: 707,533.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,510.97 : 468,718.31 = 468,718.31 : x
  2. Step 2: Convert to fraction form
    310,510.97/468,718.31 = 468,718.31/x
  3. Step 3: Cross multiply
    310,510.97x = 468,718.31 × 468,718.31
  4. Step 4: Simplify right side
    310,510.97x = 219,696,856,472.85
  5. Step 5: Solve for x
    x = 219,696,856,472.85/310,510.97
  6. Step 6: Final answer
    x = 707,533.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.