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Finding the Third Proportional to 326,344,143 and 506,059,776

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Solution

The third proportional to 326,344,143 and 506,059,776 is: 784,743,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,344,143 : 506,059,776 = 506,059,776 : x
  2. Step 2: Convert to fraction form
    326,344,143/506,059,776 = 506,059,776/x
  3. Step 3: Cross multiply
    326,344,143x = 506,059,776 × 506,059,776
  4. Step 4: Simplify right side
    326,344,143x = 256,096,496,885,170,176
  5. Step 5: Solve for x
    x = 256,096,496,885,170,176/326,344,143
  6. Step 6: Final answer
    x = 784,743,659.04

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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.