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Finding the Third Proportional to 532,504 and 804,300

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Solution

The third proportional to 532,504 and 804,300 is: 1,214,823.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,504 : 804,300 = 804,300 : x
  2. Step 2: Convert to fraction form
    532,504/804,300 = 804,300/x
  3. Step 3: Cross multiply
    532,504x = 804,300 × 804,300
  4. Step 4: Simplify right side
    532,504x = 646,898,490,000
  5. Step 5: Solve for x
    x = 646,898,490,000/532,504
  6. Step 6: Final answer
    x = 1,214,823.72

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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.