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Finding the Third Proportional to 460,120.50 and 670,072.50

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Solution

The third proportional to 460,120.50 and 670,072.50 is: 975,825.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,120.50 : 670,072.50 = 670,072.50 : x
  2. Step 2: Convert to fraction form
    460,120.50/670,072.50 = 670,072.50/x
  3. Step 3: Cross multiply
    460,120.50x = 670,072.50 × 670,072.50
  4. Step 4: Simplify right side
    460,120.50x = 448,997,155,256.25
  5. Step 5: Solve for x
    x = 448,997,155,256.25/460,120.50
  6. Step 6: Final answer
    x = 975,825.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.