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Finding the Third Proportional to 341,149,521 and 498,930,304.50

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Solution

The third proportional to 341,149,521 and 498,930,304.50 is: 729,684,298.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,149,521 : 498,930,304.50 = 498,930,304.50 : x
  2. Step 2: Convert to fraction form
    341,149,521/498,930,304.50 = 498,930,304.50/x
  3. Step 3: Cross multiply
    341,149,521x = 498,930,304.50 × 498,930,304.50
  4. Step 4: Simplify right side
    341,149,521x = 248,931,448,748,462,720
  5. Step 5: Solve for x
    x = 248,931,448,748,462,720/341,149,521
  6. Step 6: Final answer
    x = 729,684,298.01

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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.