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Finding the Third Proportional to 266,062.22 and 576,411.19

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Solution

The third proportional to 266,062.22 and 576,411.19 is: 1,248,767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,062.22 : 576,411.19 = 576,411.19 : x
  2. Step 2: Convert to fraction form
    266,062.22/576,411.19 = 576,411.19/x
  3. Step 3: Cross multiply
    266,062.22x = 576,411.19 × 576,411.19
  4. Step 4: Simplify right side
    266,062.22x = 332,249,857,075.16
  5. Step 5: Solve for x
    x = 332,249,857,075.16/266,062.22
  6. Step 6: Final answer
    x = 1,248,767.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.