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Finding the Third Proportional to 287,309,325.77 and 410,852,825.13

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Solution

The third proportional to 287,309,325.77 and 410,852,825.13 is: 587,520,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,309,325.77 : 410,852,825.13 = 410,852,825.13 : x
  2. Step 2: Convert to fraction form
    287,309,325.77/410,852,825.13 = 410,852,825.13/x
  3. Step 3: Cross multiply
    287,309,325.77x = 410,852,825.13 × 410,852,825.13
  4. Step 4: Simplify right side
    287,309,325.77x = 168,800,043,913,193,824
  5. Step 5: Solve for x
    x = 168,800,043,913,193,824/287,309,325.77
  6. Step 6: Final answer
    x = 587,520,239.60

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.