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Finding the Third Proportional to 589,131 and 934,362

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Solution

The third proportional to 589,131 and 934,362 is: 1,481,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,131 : 934,362 = 934,362 : x
  2. Step 2: Convert to fraction form
    589,131/934,362 = 934,362/x
  3. Step 3: Cross multiply
    589,131x = 934,362 × 934,362
  4. Step 4: Simplify right side
    589,131x = 873,032,347,044
  5. Step 5: Solve for x
    x = 873,032,347,044/589,131
  6. Step 6: Final answer
    x = 1,481,898.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.