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Finding the Third Proportional to 265,803.19 and 583,276.78

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Solution

The third proportional to 265,803.19 and 583,276.78 is: 1,279,938.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,803.19 : 583,276.78 = 583,276.78 : x
  2. Step 2: Convert to fraction form
    265,803.19/583,276.78 = 583,276.78/x
  3. Step 3: Cross multiply
    265,803.19x = 583,276.78 × 583,276.78
  4. Step 4: Simplify right side
    265,803.19x = 340,211,803,545.36
  5. Step 5: Solve for x
    x = 340,211,803,545.36/265,803.19
  6. Step 6: Final answer
    x = 1,279,938.77

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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.