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Finding the Third Proportional to 439,370 and 657,543

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Solution

The third proportional to 439,370 and 657,543 is: 984,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,370 : 657,543 = 657,543 : x
  2. Step 2: Convert to fraction form
    439,370/657,543 = 657,543/x
  3. Step 3: Cross multiply
    439,370x = 657,543 × 657,543
  4. Step 4: Simplify right side
    439,370x = 432,362,796,849
  5. Step 5: Solve for x
    x = 432,362,796,849/439,370
  6. Step 6: Final answer
    x = 984,051.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.