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Finding the Third Proportional to 326,572,155 and 505,653,840

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Solution

The third proportional to 326,572,155 and 505,653,840 is: 782,938,171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,572,155 : 505,653,840 = 505,653,840 : x
  2. Step 2: Convert to fraction form
    326,572,155/505,653,840 = 505,653,840/x
  3. Step 3: Cross multiply
    326,572,155x = 505,653,840 × 505,653,840
  4. Step 4: Simplify right side
    326,572,155x = 255,685,805,906,745,600
  5. Step 5: Solve for x
    x = 255,685,805,906,745,600/326,572,155
  6. Step 6: Final answer
    x = 782,938,171.53

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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.