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Finding the Third Proportional to 563,798 and 773,121

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Solution

The third proportional to 563,798 and 773,121 is: 1,060,159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,798 : 773,121 = 773,121 : x
  2. Step 2: Convert to fraction form
    563,798/773,121 = 773,121/x
  3. Step 3: Cross multiply
    563,798x = 773,121 × 773,121
  4. Step 4: Simplify right side
    563,798x = 597,716,080,641
  5. Step 5: Solve for x
    x = 597,716,080,641/563,798
  6. Step 6: Final answer
    x = 1,060,159.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.