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Finding the Third Proportional to 233,399,784 and 507,898,320

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Solution

The third proportional to 233,399,784 and 507,898,320 is: 1,105,231,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,399,784 : 507,898,320 = 507,898,320 : x
  2. Step 2: Convert to fraction form
    233,399,784/507,898,320 = 507,898,320/x
  3. Step 3: Cross multiply
    233,399,784x = 507,898,320 × 507,898,320
  4. Step 4: Simplify right side
    233,399,784x = 257,960,703,458,822,400
  5. Step 5: Solve for x
    x = 257,960,703,458,822,400/233,399,784
  6. Step 6: Final answer
    x = 1,105,231,114.78

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