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Finding the Third Proportional to 353,824 and 747,584

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Solution

The third proportional to 353,824 and 747,584 is: 1,579,547.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,824 : 747,584 = 747,584 : x
  2. Step 2: Convert to fraction form
    353,824/747,584 = 747,584/x
  3. Step 3: Cross multiply
    353,824x = 747,584 × 747,584
  4. Step 4: Simplify right side
    353,824x = 558,881,837,056
  5. Step 5: Solve for x
    x = 558,881,837,056/353,824
  6. Step 6: Final answer
    x = 1,579,547.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.