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Finding the Third Proportional to 515,156.63 and 757,836

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Solution

The third proportional to 515,156.63 and 757,836 is: 1,114,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,156.63 : 757,836 = 757,836 : x
  2. Step 2: Convert to fraction form
    515,156.63/757,836 = 757,836/x
  3. Step 3: Cross multiply
    515,156.63x = 757,836 × 757,836
  4. Step 4: Simplify right side
    515,156.63x = 574,315,402,896
  5. Step 5: Solve for x
    x = 574,315,402,896/515,156.63
  6. Step 6: Final answer
    x = 1,114,836.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.