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Finding the Third Proportional to 365,712 and 799,776

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Solution

The third proportional to 365,712 and 799,776 is: 1,749,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,712 : 799,776 = 799,776 : x
  2. Step 2: Convert to fraction form
    365,712/799,776 = 799,776/x
  3. Step 3: Cross multiply
    365,712x = 799,776 × 799,776
  4. Step 4: Simplify right side
    365,712x = 639,641,650,176
  5. Step 5: Solve for x
    x = 639,641,650,176/365,712
  6. Step 6: Final answer
    x = 1,749,031.07

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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.