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Finding the Third Proportional to 767,280 and 1,161,582

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Solution

The third proportional to 767,280 and 1,161,582 is: 1,758,514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,280 : 1,161,582 = 1,161,582 : x
  2. Step 2: Convert to fraction form
    767,280/1,161,582 = 1,161,582/x
  3. Step 3: Cross multiply
    767,280x = 1,161,582 × 1,161,582
  4. Step 4: Simplify right side
    767,280x = 1,349,272,742,724
  5. Step 5: Solve for x
    x = 1,349,272,742,724/767,280
  6. Step 6: Final answer
    x = 1,758,514.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.