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Finding the Third Proportional to 767,280 and 1,161,576

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Solution

The third proportional to 767,280 and 1,161,576 is: 1,758,495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,280 : 1,161,576 = 1,161,576 : x
  2. Step 2: Convert to fraction form
    767,280/1,161,576 = 1,161,576/x
  3. Step 3: Cross multiply
    767,280x = 1,161,576 × 1,161,576
  4. Step 4: Simplify right side
    767,280x = 1,349,258,803,776
  5. Step 5: Solve for x
    x = 1,349,258,803,776/767,280
  6. Step 6: Final answer
    x = 1,758,495.99

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