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Finding the Third Proportional to 495,972 and 742,036

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Solution

The third proportional to 495,972 and 742,036 is: 1,110,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,972 : 742,036 = 742,036 : x
  2. Step 2: Convert to fraction form
    495,972/742,036 = 742,036/x
  3. Step 3: Cross multiply
    495,972x = 742,036 × 742,036
  4. Step 4: Simplify right side
    495,972x = 550,617,425,296
  5. Step 5: Solve for x
    x = 550,617,425,296/495,972
  6. Step 6: Final answer
    x = 1,110,178.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.