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Finding the Third Proportional to 265,837.78 and 583,345.13

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Solution

The third proportional to 265,837.78 and 583,345.13 is: 1,280,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,837.78 : 583,345.13 = 583,345.13 : x
  2. Step 2: Convert to fraction form
    265,837.78/583,345.13 = 583,345.13/x
  3. Step 3: Cross multiply
    265,837.78x = 583,345.13 × 583,345.13
  4. Step 4: Simplify right side
    265,837.78x = 340,291,534,861.27
  5. Step 5: Solve for x
    x = 340,291,534,861.27/265,837.78
  6. Step 6: Final answer
    x = 1,280,072.13

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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.