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Finding the Third Proportional to 286,098 and 432,829

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Solution

The third proportional to 286,098 and 432,829 is: 654,813.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,098 : 432,829 = 432,829 : x
  2. Step 2: Convert to fraction form
    286,098/432,829 = 432,829/x
  3. Step 3: Cross multiply
    286,098x = 432,829 × 432,829
  4. Step 4: Simplify right side
    286,098x = 187,340,943,241
  5. Step 5: Solve for x
    x = 187,340,943,241/286,098
  6. Step 6: Final answer
    x = 654,813.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.