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Finding the Third Proportional to 374,520 and 808,896

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Solution

The third proportional to 374,520 and 808,896 is: 1,747,070.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,520 : 808,896 = 808,896 : x
  2. Step 2: Convert to fraction form
    374,520/808,896 = 808,896/x
  3. Step 3: Cross multiply
    374,520x = 808,896 × 808,896
  4. Step 4: Simplify right side
    374,520x = 654,312,738,816
  5. Step 5: Solve for x
    x = 654,312,738,816/374,520
  6. Step 6: Final answer
    x = 1,747,070.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.