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Finding the Third Proportional to 463,903.50 and 988,557

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Solution

The third proportional to 463,903.50 and 988,557 is: 2,106,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,903.50 : 988,557 = 988,557 : x
  2. Step 2: Convert to fraction form
    463,903.50/988,557 = 988,557/x
  3. Step 3: Cross multiply
    463,903.50x = 988,557 × 988,557
  4. Step 4: Simplify right side
    463,903.50x = 977,244,942,249
  5. Step 5: Solve for x
    x = 977,244,942,249/463,903.50
  6. Step 6: Final answer
    x = 2,106,569.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.