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Finding the Third Proportional to 374,364 and 561,362

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Solution

The third proportional to 374,364 and 561,362 is: 841,767.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,364 : 561,362 = 561,362 : x
  2. Step 2: Convert to fraction form
    374,364/561,362 = 561,362/x
  3. Step 3: Cross multiply
    374,364x = 561,362 × 561,362
  4. Step 4: Simplify right side
    374,364x = 315,127,295,044
  5. Step 5: Solve for x
    x = 315,127,295,044/374,364
  6. Step 6: Final answer
    x = 841,767.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.