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Finding the Third Proportional to 295,530.50 and 468,036.50

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Solution

The third proportional to 295,530.50 and 468,036.50 is: 741,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,530.50 : 468,036.50 = 468,036.50 : x
  2. Step 2: Convert to fraction form
    295,530.50/468,036.50 = 468,036.50/x
  3. Step 3: Cross multiply
    295,530.50x = 468,036.50 × 468,036.50
  4. Step 4: Simplify right side
    295,530.50x = 219,058,165,332.25
  5. Step 5: Solve for x
    x = 219,058,165,332.25/295,530.50
  6. Step 6: Final answer
    x = 741,237.08

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.