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Finding the Third Proportional to 452,070 and 683,931

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Solution

The third proportional to 452,070 and 683,931 is: 1,034,710.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,070 : 683,931 = 683,931 : x
  2. Step 2: Convert to fraction form
    452,070/683,931 = 683,931/x
  3. Step 3: Cross multiply
    452,070x = 683,931 × 683,931
  4. Step 4: Simplify right side
    452,070x = 467,761,612,761
  5. Step 5: Solve for x
    x = 467,761,612,761/452,070
  6. Step 6: Final answer
    x = 1,034,710.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.