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Finding the Third Proportional to 470,036 and 706,106

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Solution

The third proportional to 470,036 and 706,106 is: 1,060,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,036 : 706,106 = 706,106 : x
  2. Step 2: Convert to fraction form
    470,036/706,106 = 706,106/x
  3. Step 3: Cross multiply
    470,036x = 706,106 × 706,106
  4. Step 4: Simplify right side
    470,036x = 498,585,683,236
  5. Step 5: Solve for x
    x = 498,585,683,236/470,036
  6. Step 6: Final answer
    x = 1,060,739.35

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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.