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Finding the Third Proportional to 265,901 and 583,465

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Solution

The third proportional to 265,901 and 583,465 is: 1,280,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,901 : 583,465 = 583,465 : x
  2. Step 2: Convert to fraction form
    265,901/583,465 = 583,465/x
  3. Step 3: Cross multiply
    265,901x = 583,465 × 583,465
  4. Step 4: Simplify right side
    265,901x = 340,431,406,225
  5. Step 5: Solve for x
    x = 340,431,406,225/265,901
  6. Step 6: Final answer
    x = 1,280,293.82

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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.