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Finding the Third Proportional to 361,209 and 572,431.50

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Solution

The third proportional to 361,209 and 572,431.50 is: 907,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,209 : 572,431.50 = 572,431.50 : x
  2. Step 2: Convert to fraction form
    361,209/572,431.50 = 572,431.50/x
  3. Step 3: Cross multiply
    361,209x = 572,431.50 × 572,431.50
  4. Step 4: Simplify right side
    361,209x = 327,677,822,192.25
  5. Step 5: Solve for x
    x = 327,677,822,192.25/361,209
  6. Step 6: Final answer
    x = 907,169.59

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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.