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Finding the Third Proportional to 296,256 and 458,784

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Solution

The third proportional to 296,256 and 458,784 is: 710,475.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,256 : 458,784 = 458,784 : x
  2. Step 2: Convert to fraction form
    296,256/458,784 = 458,784/x
  3. Step 3: Cross multiply
    296,256x = 458,784 × 458,784
  4. Step 4: Simplify right side
    296,256x = 210,482,758,656
  5. Step 5: Solve for x
    x = 210,482,758,656/296,256
  6. Step 6: Final answer
    x = 710,475.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.