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Finding the Third Proportional to 375,681 and 550,035

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Solution

The third proportional to 375,681 and 550,035 is: 805,306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,681 : 550,035 = 550,035 : x
  2. Step 2: Convert to fraction form
    375,681/550,035 = 550,035/x
  3. Step 3: Cross multiply
    375,681x = 550,035 × 550,035
  4. Step 4: Simplify right side
    375,681x = 302,538,501,225
  5. Step 5: Solve for x
    x = 302,538,501,225/375,681
  6. Step 6: Final answer
    x = 805,306.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.