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Finding the Third Proportional to 310,918.50 and 495,811.13

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Solution

The third proportional to 310,918.50 and 495,811.13 is: 790,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,918.50 : 495,811.13 = 495,811.13 : x
  2. Step 2: Convert to fraction form
    310,918.50/495,811.13 = 495,811.13/x
  3. Step 3: Cross multiply
    310,918.50x = 495,811.13 × 495,811.13
  4. Step 4: Simplify right side
    310,918.50x = 245,828,671,673.77
  5. Step 5: Solve for x
    x = 245,828,671,673.77/310,918.50
  6. Step 6: Final answer
    x = 790,653.09

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.