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Finding the Third Proportional to 469,440 and 702,360

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Solution

The third proportional to 469,440 and 702,360 is: 1,050,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,440 : 702,360 = 702,360 : x
  2. Step 2: Convert to fraction form
    469,440/702,360 = 702,360/x
  3. Step 3: Cross multiply
    469,440x = 702,360 × 702,360
  4. Step 4: Simplify right side
    469,440x = 493,309,569,600
  5. Step 5: Solve for x
    x = 493,309,569,600/469,440
  6. Step 6: Final answer
    x = 1,050,846.90

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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.