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Finding the Third Proportional to 348,581 and 755,776

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Solution

The third proportional to 348,581 and 755,776 is: 1,638,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,581 : 755,776 = 755,776 : x
  2. Step 2: Convert to fraction form
    348,581/755,776 = 755,776/x
  3. Step 3: Cross multiply
    348,581x = 755,776 × 755,776
  4. Step 4: Simplify right side
    348,581x = 571,197,362,176
  5. Step 5: Solve for x
    x = 571,197,362,176/348,581
  6. Step 6: Final answer
    x = 1,638,635.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.