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Finding the Third Proportional to 340,254 and 742,835

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Solution

The third proportional to 340,254 and 742,835 is: 1,621,740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,254 : 742,835 = 742,835 : x
  2. Step 2: Convert to fraction form
    340,254/742,835 = 742,835/x
  3. Step 3: Cross multiply
    340,254x = 742,835 × 742,835
  4. Step 4: Simplify right side
    340,254x = 551,803,837,225
  5. Step 5: Solve for x
    x = 551,803,837,225/340,254
  6. Step 6: Final answer
    x = 1,621,740.93

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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.