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Finding the Third Proportional to 347,562 and 761,553

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Solution

The third proportional to 347,562 and 761,553 is: 1,668,660.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,562 : 761,553 = 761,553 : x
  2. Step 2: Convert to fraction form
    347,562/761,553 = 761,553/x
  3. Step 3: Cross multiply
    347,562x = 761,553 × 761,553
  4. Step 4: Simplify right side
    347,562x = 579,962,971,809
  5. Step 5: Solve for x
    x = 579,962,971,809/347,562
  6. Step 6: Final answer
    x = 1,668,660.47

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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.