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Finding the Third Proportional to 492,912 and 704,352

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Solution

The third proportional to 492,912 and 704,352 is: 1,006,491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,912 : 704,352 = 704,352 : x
  2. Step 2: Convert to fraction form
    492,912/704,352 = 704,352/x
  3. Step 3: Cross multiply
    492,912x = 704,352 × 704,352
  4. Step 4: Simplify right side
    492,912x = 496,111,739,904
  5. Step 5: Solve for x
    x = 496,111,739,904/492,912
  6. Step 6: Final answer
    x = 1,006,491.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.