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Finding the Third Proportional to 557,788 and 837,952

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Solution

The third proportional to 557,788 and 837,952 is: 1,258,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,788 : 837,952 = 837,952 : x
  2. Step 2: Convert to fraction form
    557,788/837,952 = 837,952/x
  3. Step 3: Cross multiply
    557,788x = 837,952 × 837,952
  4. Step 4: Simplify right side
    557,788x = 702,163,554,304
  5. Step 5: Solve for x
    x = 702,163,554,304/557,788
  6. Step 6: Final answer
    x = 1,258,835.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.