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Finding the Third Proportional to 758,160 and 1,140,318

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Solution

The third proportional to 758,160 and 1,140,318 is: 1,715,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,160 : 1,140,318 = 1,140,318 : x
  2. Step 2: Convert to fraction form
    758,160/1,140,318 = 1,140,318/x
  3. Step 3: Cross multiply
    758,160x = 1,140,318 × 1,140,318
  4. Step 4: Simplify right side
    758,160x = 1,300,325,141,124
  5. Step 5: Solve for x
    x = 1,300,325,141,124/758,160
  6. Step 6: Final answer
    x = 1,715,106.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.