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Finding the Third Proportional to 360,610,257 and 538,792,578

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Solution

The third proportional to 360,610,257 and 538,792,578 is: 805,017,152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,610,257 : 538,792,578 = 538,792,578 : x
  2. Step 2: Convert to fraction form
    360,610,257/538,792,578 = 538,792,578/x
  3. Step 3: Cross multiply
    360,610,257x = 538,792,578 × 538,792,578
  4. Step 4: Simplify right side
    360,610,257x = 290,297,442,107,886,080
  5. Step 5: Solve for x
    x = 290,297,442,107,886,080/360,610,257
  6. Step 6: Final answer
    x = 805,017,152.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.