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Finding the Third Proportional to 575,293 and 1,251,590.50

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Solution

The third proportional to 575,293 and 1,251,590.50 is: 2,722,923.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,293 : 1,251,590.50 = 1,251,590.50 : x
  2. Step 2: Convert to fraction form
    575,293/1,251,590.50 = 1,251,590.50/x
  3. Step 3: Cross multiply
    575,293x = 1,251,590.50 × 1,251,590.50
  4. Step 4: Simplify right side
    575,293x = 1,566,478,779,690.25
  5. Step 5: Solve for x
    x = 1,566,478,779,690.25/575,293
  6. Step 6: Final answer
    x = 2,722,923.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.