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Finding the Third Proportional to 470,069 and 716,120

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Solution

The third proportional to 470,069 and 716,120 is: 1,090,962.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,069 : 716,120 = 716,120 : x
  2. Step 2: Convert to fraction form
    470,069/716,120 = 716,120/x
  3. Step 3: Cross multiply
    470,069x = 716,120 × 716,120
  4. Step 4: Simplify right side
    470,069x = 512,827,854,400
  5. Step 5: Solve for x
    x = 512,827,854,400/470,069
  6. Step 6: Final answer
    x = 1,090,962.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.