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Finding the Third Proportional to 522,553 and 781,798

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Solution

The third proportional to 522,553 and 781,798 is: 1,169,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,553 : 781,798 = 781,798 : x
  2. Step 2: Convert to fraction form
    522,553/781,798 = 781,798/x
  3. Step 3: Cross multiply
    522,553x = 781,798 × 781,798
  4. Step 4: Simplify right side
    522,553x = 611,208,112,804
  5. Step 5: Solve for x
    x = 611,208,112,804/522,553
  6. Step 6: Final answer
    x = 1,169,657.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.