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Finding the Third Proportional to 657,633 and 986,446.50

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Solution

The third proportional to 657,633 and 986,446.50 is: 1,479,665.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,633 : 986,446.50 = 986,446.50 : x
  2. Step 2: Convert to fraction form
    657,633/986,446.50 = 986,446.50/x
  3. Step 3: Cross multiply
    657,633x = 986,446.50 × 986,446.50
  4. Step 4: Simplify right side
    657,633x = 973,076,697,362.25
  5. Step 5: Solve for x
    x = 973,076,697,362.25/657,633
  6. Step 6: Final answer
    x = 1,479,665.25

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Why These Related Problems?

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