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Finding the Third Proportional to 195,587.63 and 428,506.13

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Solution

The third proportional to 195,587.63 and 428,506.13 is: 938,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,587.63 : 428,506.13 = 428,506.13 : x
  2. Step 2: Convert to fraction form
    195,587.63/428,506.13 = 428,506.13/x
  3. Step 3: Cross multiply
    195,587.63x = 428,506.13 × 428,506.13
  4. Step 4: Simplify right side
    195,587.63x = 183,617,499,162.52
  5. Step 5: Solve for x
    x = 183,617,499,162.52/195,587.63
  6. Step 6: Final answer
    x = 938,799.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.