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Finding the Third Proportional to 425,526 and 658,898.25

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Solution

The third proportional to 425,526 and 658,898.25 is: 1,020,259.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,526 : 658,898.25 = 658,898.25 : x
  2. Step 2: Convert to fraction form
    425,526/658,898.25 = 658,898.25/x
  3. Step 3: Cross multiply
    425,526x = 658,898.25 × 658,898.25
  4. Step 4: Simplify right side
    425,526x = 434,146,903,853.06
  5. Step 5: Solve for x
    x = 434,146,903,853.06/425,526
  6. Step 6: Final answer
    x = 1,020,259.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.