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Finding the Third Proportional to 403,569 and 606,309

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Solution

The third proportional to 403,569 and 606,309 is: 910,899.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,569 : 606,309 = 606,309 : x
  2. Step 2: Convert to fraction form
    403,569/606,309 = 606,309/x
  3. Step 3: Cross multiply
    403,569x = 606,309 × 606,309
  4. Step 4: Simplify right side
    403,569x = 367,610,603,481
  5. Step 5: Solve for x
    x = 367,610,603,481/403,569
  6. Step 6: Final answer
    x = 910,899.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.