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Finding the Third Proportional to 294,276 and 455,569.50

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Solution

The third proportional to 294,276 and 455,569.50 is: 705,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,276 : 455,569.50 = 455,569.50 : x
  2. Step 2: Convert to fraction form
    294,276/455,569.50 = 455,569.50/x
  3. Step 3: Cross multiply
    294,276x = 455,569.50 × 455,569.50
  4. Step 4: Simplify right side
    294,276x = 207,543,569,330.25
  5. Step 5: Solve for x
    x = 207,543,569,330.25/294,276
  6. Step 6: Final answer
    x = 705,268.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.