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Finding the Third Proportional to 413,505 and 893,034

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Solution

The third proportional to 413,505 and 893,034 is: 1,928,658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,505 : 893,034 = 893,034 : x
  2. Step 2: Convert to fraction form
    413,505/893,034 = 893,034/x
  3. Step 3: Cross multiply
    413,505x = 893,034 × 893,034
  4. Step 4: Simplify right side
    413,505x = 797,509,725,156
  5. Step 5: Solve for x
    x = 797,509,725,156/413,505
  6. Step 6: Final answer
    x = 1,928,658.00

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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.