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Finding the Third Proportional to 470,134.13 and 705,196.13

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Solution

The third proportional to 470,134.13 and 705,196.13 is: 1,057,786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,134.13 : 705,196.13 = 705,196.13 : x
  2. Step 2: Convert to fraction form
    470,134.13/705,196.13 = 705,196.13/x
  3. Step 3: Cross multiply
    470,134.13x = 705,196.13 × 705,196.13
  4. Step 4: Simplify right side
    470,134.13x = 497,301,574,715.02
  5. Step 5: Solve for x
    x = 497,301,574,715.02/470,134.13
  6. Step 6: Final answer
    x = 1,057,786.59

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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.