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Finding the Third Proportional to 470,798 and 707,250

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Solution

The third proportional to 470,798 and 707,250 is: 1,062,456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,798 : 707,250 = 707,250 : x
  2. Step 2: Convert to fraction form
    470,798/707,250 = 707,250/x
  3. Step 3: Cross multiply
    470,798x = 707,250 × 707,250
  4. Step 4: Simplify right side
    470,798x = 500,202,562,500
  5. Step 5: Solve for x
    x = 500,202,562,500/470,798
  6. Step 6: Final answer
    x = 1,062,456.86

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