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Finding the Third Proportional to 265,440 and 583,368

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Solution

The third proportional to 265,440 and 583,368 is: 1,282,090.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,440 : 583,368 = 583,368 : x
  2. Step 2: Convert to fraction form
    265,440/583,368 = 583,368/x
  3. Step 3: Cross multiply
    265,440x = 583,368 × 583,368
  4. Step 4: Simplify right side
    265,440x = 340,318,223,424
  5. Step 5: Solve for x
    x = 340,318,223,424/265,440
  6. Step 6: Final answer
    x = 1,282,090.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.