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Finding the Third Proportional to 452,096 and 702,464

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Solution

The third proportional to 452,096 and 702,464 is: 1,091,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,096 : 702,464 = 702,464 : x
  2. Step 2: Convert to fraction form
    452,096/702,464 = 702,464/x
  3. Step 3: Cross multiply
    452,096x = 702,464 × 702,464
  4. Step 4: Simplify right side
    452,096x = 493,455,671,296
  5. Step 5: Solve for x
    x = 493,455,671,296/452,096
  6. Step 6: Final answer
    x = 1,091,484.27

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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.