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Finding the Third Proportional to 478,748.50 and 708,879

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Solution

The third proportional to 478,748.50 and 708,879 is: 1,049,631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,748.50 : 708,879 = 708,879 : x
  2. Step 2: Convert to fraction form
    478,748.50/708,879 = 708,879/x
  3. Step 3: Cross multiply
    478,748.50x = 708,879 × 708,879
  4. Step 4: Simplify right side
    478,748.50x = 502,509,436,641
  5. Step 5: Solve for x
    x = 502,509,436,641/478,748.50
  6. Step 6: Final answer
    x = 1,049,631.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.