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Finding the Third Proportional to 470,052 and 706,121

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Solution

The third proportional to 470,052 and 706,121 is: 1,060,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,052 : 706,121 = 706,121 : x
  2. Step 2: Convert to fraction form
    470,052/706,121 = 706,121/x
  3. Step 3: Cross multiply
    470,052x = 706,121 × 706,121
  4. Step 4: Simplify right side
    470,052x = 498,606,866,641
  5. Step 5: Solve for x
    x = 498,606,866,641/470,052
  6. Step 6: Final answer
    x = 1,060,748.31

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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.