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Finding the Third Proportional to 354,006 and 560,828.25

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Solution

The third proportional to 354,006 and 560,828.25 is: 888,483.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,006 : 560,828.25 = 560,828.25 : x
  2. Step 2: Convert to fraction form
    354,006/560,828.25 = 560,828.25/x
  3. Step 3: Cross multiply
    354,006x = 560,828.25 × 560,828.25
  4. Step 4: Simplify right side
    354,006x = 314,528,325,998.06
  5. Step 5: Solve for x
    x = 314,528,325,998.06/354,006
  6. Step 6: Final answer
    x = 888,483.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.