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Finding the Third Proportional to 347,065 and 760,605

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Solution

The third proportional to 347,065 and 760,605 is: 1,666,892.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,065 : 760,605 = 760,605 : x
  2. Step 2: Convert to fraction form
    347,065/760,605 = 760,605/x
  3. Step 3: Cross multiply
    347,065x = 760,605 × 760,605
  4. Step 4: Simplify right side
    347,065x = 578,519,966,025
  5. Step 5: Solve for x
    x = 578,519,966,025/347,065
  6. Step 6: Final answer
    x = 1,666,892.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.