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Finding the Third Proportional to 514,263 and 784,447

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Solution

The third proportional to 514,263 and 784,447 is: 1,196,580.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,263 : 784,447 = 784,447 : x
  2. Step 2: Convert to fraction form
    514,263/784,447 = 784,447/x
  3. Step 3: Cross multiply
    514,263x = 784,447 × 784,447
  4. Step 4: Simplify right side
    514,263x = 615,357,095,809
  5. Step 5: Solve for x
    x = 615,357,095,809/514,263
  6. Step 6: Final answer
    x = 1,196,580.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.