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Finding the Third Proportional to 594,028 and 920,632

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Solution

The third proportional to 594,028 and 920,632 is: 1,426,806.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,028 : 920,632 = 920,632 : x
  2. Step 2: Convert to fraction form
    594,028/920,632 = 920,632/x
  3. Step 3: Cross multiply
    594,028x = 920,632 × 920,632
  4. Step 4: Simplify right side
    594,028x = 847,563,279,424
  5. Step 5: Solve for x
    x = 847,563,279,424/594,028
  6. Step 6: Final answer
    x = 1,426,806.95

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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.