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Finding the Third Proportional to 624,528 and 993,024

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Solution

The third proportional to 624,528 and 993,024 is: 1,578,947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,528 : 993,024 = 993,024 : x
  2. Step 2: Convert to fraction form
    624,528/993,024 = 993,024/x
  3. Step 3: Cross multiply
    624,528x = 993,024 × 993,024
  4. Step 4: Simplify right side
    624,528x = 986,096,664,576
  5. Step 5: Solve for x
    x = 986,096,664,576/624,528
  6. Step 6: Final answer
    x = 1,578,947.08

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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.