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Finding the Third Proportional to 430,853 and 657,942

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Solution

The third proportional to 430,853 and 657,942 is: 1,004,722.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,853 : 657,942 = 657,942 : x
  2. Step 2: Convert to fraction form
    430,853/657,942 = 657,942/x
  3. Step 3: Cross multiply
    430,853x = 657,942 × 657,942
  4. Step 4: Simplify right side
    430,853x = 432,887,675,364
  5. Step 5: Solve for x
    x = 432,887,675,364/430,853
  6. Step 6: Final answer
    x = 1,004,722.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.