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Finding the Third Proportional to 431,316 and 930,024

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Solution

The third proportional to 431,316 and 930,024 is: 2,005,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,316 : 930,024 = 930,024 : x
  2. Step 2: Convert to fraction form
    431,316/930,024 = 930,024/x
  3. Step 3: Cross multiply
    431,316x = 930,024 × 930,024
  4. Step 4: Simplify right side
    431,316x = 864,944,640,576
  5. Step 5: Solve for x
    x = 864,944,640,576/431,316
  6. Step 6: Final answer
    x = 2,005,361.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.