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Finding the Third Proportional to 470,173.50 and 705,253.50

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Solution

The third proportional to 470,173.50 and 705,253.50 is: 1,057,870.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,173.50 : 705,253.50 = 705,253.50 : x
  2. Step 2: Convert to fraction form
    470,173.50/705,253.50 = 705,253.50/x
  3. Step 3: Cross multiply
    470,173.50x = 705,253.50 × 705,253.50
  4. Step 4: Simplify right side
    470,173.50x = 497,382,499,262.25
  5. Step 5: Solve for x
    x = 497,382,499,262.25/470,173.50
  6. Step 6: Final answer
    x = 1,057,870.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.