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Finding the Third Proportional to 337,210.59 and 705,596.06

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Solution

The third proportional to 337,210.59 and 705,596.06 is: 1,476,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,210.59 : 705,596.06 = 705,596.06 : x
  2. Step 2: Convert to fraction form
    337,210.59/705,596.06 = 705,596.06/x
  3. Step 3: Cross multiply
    337,210.59x = 705,596.06 × 705,596.06
  4. Step 4: Simplify right side
    337,210.59x = 497,865,803,415.50
  5. Step 5: Solve for x
    x = 497,865,803,415.50/337,210.59
  6. Step 6: Final answer
    x = 1,476,423.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.