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Finding the Third Proportional to 286,698 and 455,473

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Solution

The third proportional to 286,698 and 455,473 is: 723,603.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,698 : 455,473 = 455,473 : x
  2. Step 2: Convert to fraction form
    286,698/455,473 = 455,473/x
  3. Step 3: Cross multiply
    286,698x = 455,473 × 455,473
  4. Step 4: Simplify right side
    286,698x = 207,455,653,729
  5. Step 5: Solve for x
    x = 207,455,653,729/286,698
  6. Step 6: Final answer
    x = 723,603.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.