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Finding the Third Proportional to 364,655 and 552,013.50

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Solution

The third proportional to 364,655 and 552,013.50 is: 835,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,655 : 552,013.50 = 552,013.50 : x
  2. Step 2: Convert to fraction form
    364,655/552,013.50 = 552,013.50/x
  3. Step 3: Cross multiply
    364,655x = 552,013.50 × 552,013.50
  4. Step 4: Simplify right side
    364,655x = 304,718,904,182.25
  5. Step 5: Solve for x
    x = 304,718,904,182.25/364,655
  6. Step 6: Final answer
    x = 835,636.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.