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Finding the Third Proportional to 402,178 and 884,052

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Solution

The third proportional to 402,178 and 884,052 is: 1,943,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,178 : 884,052 = 884,052 : x
  2. Step 2: Convert to fraction form
    402,178/884,052 = 884,052/x
  3. Step 3: Cross multiply
    402,178x = 884,052 × 884,052
  4. Step 4: Simplify right side
    402,178x = 781,547,938,704
  5. Step 5: Solve for x
    x = 781,547,938,704/402,178
  6. Step 6: Final answer
    x = 1,943,288.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.