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Finding the Third Proportional to 594,715.50 and 957,580.50

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Solution

The third proportional to 594,715.50 and 957,580.50 is: 1,541,847.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,715.50 : 957,580.50 = 957,580.50 : x
  2. Step 2: Convert to fraction form
    594,715.50/957,580.50 = 957,580.50/x
  3. Step 3: Cross multiply
    594,715.50x = 957,580.50 × 957,580.50
  4. Step 4: Simplify right side
    594,715.50x = 916,960,413,980.25
  5. Step 5: Solve for x
    x = 916,960,413,980.25/594,715.50
  6. Step 6: Final answer
    x = 1,541,847.18

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.