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Finding the Third Proportional to 635,798 and 953,707

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Solution

The third proportional to 635,798 and 953,707 is: 1,430,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,798 : 953,707 = 953,707 : x
  2. Step 2: Convert to fraction form
    635,798/953,707 = 953,707/x
  3. Step 3: Cross multiply
    635,798x = 953,707 × 953,707
  4. Step 4: Simplify right side
    635,798x = 909,557,041,849
  5. Step 5: Solve for x
    x = 909,557,041,849/635,798
  6. Step 6: Final answer
    x = 1,430,575.50

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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.