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Finding the Third Proportional to 245,347.50 and 499,716

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Solution

The third proportional to 245,347.50 and 499,716 is: 1,017,805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,347.50 : 499,716 = 499,716 : x
  2. Step 2: Convert to fraction form
    245,347.50/499,716 = 499,716/x
  3. Step 3: Cross multiply
    245,347.50x = 499,716 × 499,716
  4. Step 4: Simplify right side
    245,347.50x = 249,716,080,656
  5. Step 5: Solve for x
    x = 249,716,080,656/245,347.50
  6. Step 6: Final answer
    x = 1,017,805.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.