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Finding the Third Proportional to 324,433,071 and 502,679,587.50

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Solution

The third proportional to 324,433,071 and 502,679,587.50 is: 778,856,381.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,433,071 : 502,679,587.50 = 502,679,587.50 : x
  2. Step 2: Convert to fraction form
    324,433,071/502,679,587.50 = 502,679,587.50/x
  3. Step 3: Cross multiply
    324,433,071x = 502,679,587.50 × 502,679,587.50
  4. Step 4: Simplify right side
    324,433,071x = 252,686,767,689,170,144
  5. Step 5: Solve for x
    x = 252,686,767,689,170,144/324,433,071
  6. Step 6: Final answer
    x = 778,856,381.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.