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Finding the Third Proportional to 480,960 and 707,616

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Solution

The third proportional to 480,960 and 707,616 is: 1,041,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,960 : 707,616 = 707,616 : x
  2. Step 2: Convert to fraction form
    480,960/707,616 = 707,616/x
  3. Step 3: Cross multiply
    480,960x = 707,616 × 707,616
  4. Step 4: Simplify right side
    480,960x = 500,720,403,456
  5. Step 5: Solve for x
    x = 500,720,403,456/480,960
  6. Step 6: Final answer
    x = 1,041,085.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.