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Finding the Third Proportional to 310,975,095 and 719,926,396.50

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Solution

The third proportional to 310,975,095 and 719,926,396.50 is: 1,666,673,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,975,095 : 719,926,396.50 = 719,926,396.50 : x
  2. Step 2: Convert to fraction form
    310,975,095/719,926,396.50 = 719,926,396.50/x
  3. Step 3: Cross multiply
    310,975,095x = 719,926,396.50 × 719,926,396.50
  4. Step 4: Simplify right side
    310,975,095x = 518,294,016,377,475,200
  5. Step 5: Solve for x
    x = 518,294,016,377,475,200/310,975,095
  6. Step 6: Final answer
    x = 1,666,673,713.46

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