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Finding the Third Proportional to 438,045 and 640,437

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Solution

The third proportional to 438,045 and 640,437 is: 936,341.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,045 : 640,437 = 640,437 : x
  2. Step 2: Convert to fraction form
    438,045/640,437 = 640,437/x
  3. Step 3: Cross multiply
    438,045x = 640,437 × 640,437
  4. Step 4: Simplify right side
    438,045x = 410,159,550,969
  5. Step 5: Solve for x
    x = 410,159,550,969/438,045
  6. Step 6: Final answer
    x = 936,341.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.