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Finding the Third Proportional to 310,975,074 and 719,926,345.50

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Solution

The third proportional to 310,975,074 and 719,926,345.50 is: 1,666,673,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,975,074 : 719,926,345.50 = 719,926,345.50 : x
  2. Step 2: Convert to fraction form
    310,975,074/719,926,345.50 = 719,926,345.50/x
  3. Step 3: Cross multiply
    310,975,074x = 719,926,345.50 × 719,926,345.50
  4. Step 4: Simplify right side
    310,975,074x = 518,293,942,944,985,344
  5. Step 5: Solve for x
    x = 518,293,942,944,985,344/310,975,074
  6. Step 6: Final answer
    x = 1,666,673,589.87

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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.