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Finding the Third Proportional to 449,013 and 710,865

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Solution

The third proportional to 449,013 and 710,865 is: 1,125,421.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,013 : 710,865 = 710,865 : x
  2. Step 2: Convert to fraction form
    449,013/710,865 = 710,865/x
  3. Step 3: Cross multiply
    449,013x = 710,865 × 710,865
  4. Step 4: Simplify right side
    449,013x = 505,329,048,225
  5. Step 5: Solve for x
    x = 505,329,048,225/449,013
  6. Step 6: Final answer
    x = 1,125,421.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.