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Finding the Third Proportional to 522,546 and 763,656.13

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Solution

The third proportional to 522,546 and 763,656.13 is: 1,116,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,546 : 763,656.13 = 763,656.13 : x
  2. Step 2: Convert to fraction form
    522,546/763,656.13 = 763,656.13/x
  3. Step 3: Cross multiply
    522,546x = 763,656.13 × 763,656.13
  4. Step 4: Simplify right side
    522,546x = 583,170,677,250.02
  5. Step 5: Solve for x
    x = 583,170,677,250.02/522,546
  6. Step 6: Final answer
    x = 1,116,017.88

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.