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Finding the Third Proportional to 245,341 and 499,703

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Solution

The third proportional to 245,341 and 499,703 is: 1,017,779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,341 : 499,703 = 499,703 : x
  2. Step 2: Convert to fraction form
    245,341/499,703 = 499,703/x
  3. Step 3: Cross multiply
    245,341x = 499,703 × 499,703
  4. Step 4: Simplify right side
    245,341x = 249,703,088,209
  5. Step 5: Solve for x
    x = 249,703,088,209/245,341
  6. Step 6: Final answer
    x = 1,017,779.70

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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.