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Finding the Third Proportional to 375,814 and 581,664

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Solution

The third proportional to 375,814 and 581,664 is: 900,267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,814 : 581,664 = 581,664 : x
  2. Step 2: Convert to fraction form
    375,814/581,664 = 581,664/x
  3. Step 3: Cross multiply
    375,814x = 581,664 × 581,664
  4. Step 4: Simplify right side
    375,814x = 338,333,008,896
  5. Step 5: Solve for x
    x = 338,333,008,896/375,814
  6. Step 6: Final answer
    x = 900,267.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.