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Finding the Third Proportional to 341,149,506.75 and 498,930,279.75

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Solution

The third proportional to 341,149,506.75 and 498,930,279.75 is: 729,684,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,149,506.75 : 498,930,279.75 = 498,930,279.75 : x
  2. Step 2: Convert to fraction form
    341,149,506.75/498,930,279.75 = 498,930,279.75/x
  3. Step 3: Cross multiply
    341,149,506.75x = 498,930,279.75 × 498,930,279.75
  4. Step 4: Simplify right side
    341,149,506.75x = 248,931,424,051,413,248
  5. Step 5: Solve for x
    x = 248,931,424,051,413,248/341,149,506.75
  6. Step 6: Final answer
    x = 729,684,256.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.