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Finding the Third Proportional to 341,490.94 and 501,164.72

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Solution

The third proportional to 341,490.94 and 501,164.72 is: 735,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,490.94 : 501,164.72 = 501,164.72 : x
  2. Step 2: Convert to fraction form
    341,490.94/501,164.72 = 501,164.72/x
  3. Step 3: Cross multiply
    341,490.94x = 501,164.72 × 501,164.72
  4. Step 4: Simplify right side
    341,490.94x = 251,166,075,319.77
  5. Step 5: Solve for x
    x = 251,166,075,319.77/341,490.94
  6. Step 6: Final answer
    x = 735,498.51

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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.