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Finding the Third Proportional to 310,975,092 and 719,926,387.50

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Solution

The third proportional to 310,975,092 and 719,926,387.50 is: 1,666,673,687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,975,092 : 719,926,387.50 = 719,926,387.50 : x
  2. Step 2: Convert to fraction form
    310,975,092/719,926,387.50 = 719,926,387.50/x
  3. Step 3: Cross multiply
    310,975,092x = 719,926,387.50 × 719,926,387.50
  4. Step 4: Simplify right side
    310,975,092x = 518,294,003,418,800,128
  5. Step 5: Solve for x
    x = 518,294,003,418,800,128/310,975,092
  6. Step 6: Final answer
    x = 1,666,673,687.87

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.