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Finding the Third Proportional to 403,726 and 849,282

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Solution

The third proportional to 403,726 and 849,282 is: 1,786,558.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,726 : 849,282 = 849,282 : x
  2. Step 2: Convert to fraction form
    403,726/849,282 = 849,282/x
  3. Step 3: Cross multiply
    403,726x = 849,282 × 849,282
  4. Step 4: Simplify right side
    403,726x = 721,279,915,524
  5. Step 5: Solve for x
    x = 721,279,915,524/403,726
  6. Step 6: Final answer
    x = 1,786,558.00

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.