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Finding the Third Proportional to 334,581,675.75 and 724,748,143.50

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Solution

The third proportional to 334,581,675.75 and 724,748,143.50 is: 1,569,900,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,581,675.75 : 724,748,143.50 = 724,748,143.50 : x
  2. Step 2: Convert to fraction form
    334,581,675.75/724,748,143.50 = 724,748,143.50/x
  3. Step 3: Cross multiply
    334,581,675.75x = 724,748,143.50 × 724,748,143.50
  4. Step 4: Simplify right side
    334,581,675.75x = 525,259,871,506,696,576
  5. Step 5: Solve for x
    x = 525,259,871,506,696,576/334,581,675.75
  6. Step 6: Final answer
    x = 1,569,900,295.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.