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Finding the Third Proportional to 444,957 and 921,457.50

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Solution

The third proportional to 444,957 and 921,457.50 is: 1,908,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,957 : 921,457.50 = 921,457.50 : x
  2. Step 2: Convert to fraction form
    444,957/921,457.50 = 921,457.50/x
  3. Step 3: Cross multiply
    444,957x = 921,457.50 × 921,457.50
  4. Step 4: Simplify right side
    444,957x = 849,083,924,306.25
  5. Step 5: Solve for x
    x = 849,083,924,306.25/444,957
  6. Step 6: Final answer
    x = 1,908,238.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.