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Finding the Third Proportional to 452,566.13 and 671,014.69

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Solution

The third proportional to 452,566.13 and 671,014.69 is: 994,905.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,566.13 : 671,014.69 = 671,014.69 : x
  2. Step 2: Convert to fraction form
    452,566.13/671,014.69 = 671,014.69/x
  3. Step 3: Cross multiply
    452,566.13x = 671,014.69 × 671,014.69
  4. Step 4: Simplify right side
    452,566.13x = 450,260,710,840.72
  5. Step 5: Solve for x
    x = 450,260,710,840.72/452,566.13
  6. Step 6: Final answer
    x = 994,905.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.