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Finding the Third Proportional to 310,972.50 and 466,702.50

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Solution

The third proportional to 310,972.50 and 466,702.50 is: 700,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,972.50 : 466,702.50 = 466,702.50 : x
  2. Step 2: Convert to fraction form
    310,972.50/466,702.50 = 466,702.50/x
  3. Step 3: Cross multiply
    310,972.50x = 466,702.50 × 466,702.50
  4. Step 4: Simplify right side
    310,972.50x = 217,811,223,506.25
  5. Step 5: Solve for x
    x = 217,811,223,506.25/310,972.50
  6. Step 6: Final answer
    x = 700,419.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.