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Finding the Third Proportional to 350,748 and 757,543.50

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Solution

The third proportional to 350,748 and 757,543.50 is: 1,636,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,748 : 757,543.50 = 757,543.50 : x
  2. Step 2: Convert to fraction form
    350,748/757,543.50 = 757,543.50/x
  3. Step 3: Cross multiply
    350,748x = 757,543.50 × 757,543.50
  4. Step 4: Simplify right side
    350,748x = 573,872,154,392.25
  5. Step 5: Solve for x
    x = 573,872,154,392.25/350,748
  6. Step 6: Final answer
    x = 1,636,138.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.