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Finding the Third Proportional to 342,699 and 742,543.50

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Solution

The third proportional to 342,699 and 742,543.50 is: 1,608,907.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,699 : 742,543.50 = 742,543.50 : x
  2. Step 2: Convert to fraction form
    342,699/742,543.50 = 742,543.50/x
  3. Step 3: Cross multiply
    342,699x = 742,543.50 × 742,543.50
  4. Step 4: Simplify right side
    342,699x = 551,370,849,392.25
  5. Step 5: Solve for x
    x = 551,370,849,392.25/342,699
  6. Step 6: Final answer
    x = 1,608,907.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.