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Finding the Third Proportional to 515,058.75 and 757,702.69

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Solution

The third proportional to 515,058.75 and 757,702.69 is: 1,114,656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,058.75 : 757,702.69 = 757,702.69 : x
  2. Step 2: Convert to fraction form
    515,058.75/757,702.69 = 757,702.69/x
  3. Step 3: Cross multiply
    515,058.75x = 757,702.69 × 757,702.69
  4. Step 4: Simplify right side
    515,058.75x = 574,113,362,644.72
  5. Step 5: Solve for x
    x = 574,113,362,644.72/515,058.75
  6. Step 6: Final answer
    x = 1,114,656.07

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