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Finding the Third Proportional to 473,880 and 750,240

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Solution

The third proportional to 473,880 and 750,240 is: 1,187,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,880 : 750,240 = 750,240 : x
  2. Step 2: Convert to fraction form
    473,880/750,240 = 750,240/x
  3. Step 3: Cross multiply
    473,880x = 750,240 × 750,240
  4. Step 4: Simplify right side
    473,880x = 562,860,057,600
  5. Step 5: Solve for x
    x = 562,860,057,600/473,880
  6. Step 6: Final answer
    x = 1,187,769.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.