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Finding the Third Proportional to 291,784 and 417,246

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Solution

The third proportional to 291,784 and 417,246 is: 596,654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,784 : 417,246 = 417,246 : x
  2. Step 2: Convert to fraction form
    291,784/417,246 = 417,246/x
  3. Step 3: Cross multiply
    291,784x = 417,246 × 417,246
  4. Step 4: Simplify right side
    291,784x = 174,094,224,516
  5. Step 5: Solve for x
    x = 174,094,224,516/291,784
  6. Step 6: Final answer
    x = 596,654.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.