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Finding the Third Proportional to 610,588.50 and 934,014

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Solution

The third proportional to 610,588.50 and 934,014 is: 1,428,756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,588.50 : 934,014 = 934,014 : x
  2. Step 2: Convert to fraction form
    610,588.50/934,014 = 934,014/x
  3. Step 3: Cross multiply
    610,588.50x = 934,014 × 934,014
  4. Step 4: Simplify right side
    610,588.50x = 872,382,152,196
  5. Step 5: Solve for x
    x = 872,382,152,196/610,588.50
  6. Step 6: Final answer
    x = 1,428,756.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.