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Finding the Third Proportional to 470,852 and 717,158

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Solution

The third proportional to 470,852 and 717,158 is: 1,092,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,852 : 717,158 = 717,158 : x
  2. Step 2: Convert to fraction form
    470,852/717,158 = 717,158/x
  3. Step 3: Cross multiply
    470,852x = 717,158 × 717,158
  4. Step 4: Simplify right side
    470,852x = 514,315,596,964
  5. Step 5: Solve for x
    x = 514,315,596,964/470,852
  6. Step 6: Final answer
    x = 1,092,308.40

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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.