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Finding the Third Proportional to 286,488 and 623,952

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Solution

The third proportional to 286,488 and 623,952 is: 1,358,926.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,488 : 623,952 = 623,952 : x
  2. Step 2: Convert to fraction form
    286,488/623,952 = 623,952/x
  3. Step 3: Cross multiply
    286,488x = 623,952 × 623,952
  4. Step 4: Simplify right side
    286,488x = 389,316,098,304
  5. Step 5: Solve for x
    x = 389,316,098,304/286,488
  6. Step 6: Final answer
    x = 1,358,926.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.