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Finding the Third Proportional to 612,208.13 and 805,636.13

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Solution

The third proportional to 612,208.13 and 805,636.13 is: 1,060,177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,208.13 : 805,636.13 = 805,636.13 : x
  2. Step 2: Convert to fraction form
    612,208.13/805,636.13 = 805,636.13/x
  3. Step 3: Cross multiply
    612,208.13x = 805,636.13 × 805,636.13
  4. Step 4: Simplify right side
    612,208.13x = 649,049,565,905.02
  5. Step 5: Solve for x
    x = 649,049,565,905.02/612,208.13
  6. Step 6: Final answer
    x = 1,060,177.97

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.