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Finding the Third Proportional to 358,445,518.31 and 553,586,903.72

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Solution

The third proportional to 358,445,518.31 and 553,586,903.72 is: 854,965,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,445,518.31 : 553,586,903.72 = 553,586,903.72 : x
  2. Step 2: Convert to fraction form
    358,445,518.31/553,586,903.72 = 553,586,903.72/x
  3. Step 3: Cross multiply
    358,445,518.31x = 553,586,903.72 × 553,586,903.72
  4. Step 4: Simplify right side
    358,445,518.31x = 306,458,459,968,923,648
  5. Step 5: Solve for x
    x = 306,458,459,968,923,648/358,445,518.31
  6. Step 6: Final answer
    x = 854,965,243.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.