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Finding the Third Proportional to 340,069.22 and 742,307.63

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Solution

The third proportional to 340,069.22 and 742,307.63 is: 1,620,318.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,069.22 : 742,307.63 = 742,307.63 : x
  2. Step 2: Convert to fraction form
    340,069.22/742,307.63 = 742,307.63/x
  3. Step 3: Cross multiply
    340,069.22x = 742,307.63 × 742,307.63
  4. Step 4: Simplify right side
    340,069.22x = 551,020,610,133.14
  5. Step 5: Solve for x
    x = 551,020,610,133.14/340,069.22
  6. Step 6: Final answer
    x = 1,620,318.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.