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Finding the Third Proportional to 492,985.69 and 742,723.31

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Solution

The third proportional to 492,985.69 and 742,723.31 is: 1,118,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,985.69 : 742,723.31 = 742,723.31 : x
  2. Step 2: Convert to fraction form
    492,985.69/742,723.31 = 742,723.31/x
  3. Step 3: Cross multiply
    492,985.69x = 742,723.31 × 742,723.31
  4. Step 4: Simplify right side
    492,985.69x = 551,637,918,930.97
  5. Step 5: Solve for x
    x = 551,637,918,930.97/492,985.69
  6. Step 6: Final answer
    x = 1,118,973.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.