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Finding the Third Proportional to 345,639 and 718,868.50

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Solution

The third proportional to 345,639 and 718,868.50 is: 1,495,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,639 : 718,868.50 = 718,868.50 : x
  2. Step 2: Convert to fraction form
    345,639/718,868.50 = 718,868.50/x
  3. Step 3: Cross multiply
    345,639x = 718,868.50 × 718,868.50
  4. Step 4: Simplify right side
    345,639x = 516,771,920,292.25
  5. Step 5: Solve for x
    x = 516,771,920,292.25/345,639
  6. Step 6: Final answer
    x = 1,495,120.40

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.