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Finding the Third Proportional to 429,801 and 581,639

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Solution

The third proportional to 429,801 and 581,639 is: 787,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,801 : 581,639 = 581,639 : x
  2. Step 2: Convert to fraction form
    429,801/581,639 = 581,639/x
  3. Step 3: Cross multiply
    429,801x = 581,639 × 581,639
  4. Step 4: Simplify right side
    429,801x = 338,303,926,321
  5. Step 5: Solve for x
    x = 338,303,926,321/429,801
  6. Step 6: Final answer
    x = 787,117.59

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.