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Finding the Third Proportional to 200,604 and 432,805.88

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Solution

The third proportional to 200,604 and 432,805.88 is: 933,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,604 : 432,805.88 = 432,805.88 : x
  2. Step 2: Convert to fraction form
    200,604/432,805.88 = 432,805.88/x
  3. Step 3: Cross multiply
    200,604x = 432,805.88 × 432,805.88
  4. Step 4: Simplify right side
    200,604x = 187,320,925,434.52
  5. Step 5: Solve for x
    x = 187,320,925,434.52/200,604
  6. Step 6: Final answer
    x = 933,784.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.