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Finding the Third Proportional to 216,607.50 and 475,065

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Solution

The third proportional to 216,607.50 and 475,065 is: 1,041,915.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,607.50 : 475,065 = 475,065 : x
  2. Step 2: Convert to fraction form
    216,607.50/475,065 = 475,065/x
  3. Step 3: Cross multiply
    216,607.50x = 475,065 × 475,065
  4. Step 4: Simplify right side
    216,607.50x = 225,686,754,225
  5. Step 5: Solve for x
    x = 225,686,754,225/216,607.50
  6. Step 6: Final answer
    x = 1,041,915.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.