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Finding the Third Proportional to 557,771 and 837,929.50

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Solution

The third proportional to 557,771 and 837,929.50 is: 1,258,806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,771 : 837,929.50 = 837,929.50 : x
  2. Step 2: Convert to fraction form
    557,771/837,929.50 = 837,929.50/x
  3. Step 3: Cross multiply
    557,771x = 837,929.50 × 837,929.50
  4. Step 4: Simplify right side
    557,771x = 702,125,846,970.25
  5. Step 5: Solve for x
    x = 702,125,846,970.25/557,771
  6. Step 6: Final answer
    x = 1,258,806.66

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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.