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Finding the Third Proportional to 495,264 and 742,904

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Solution

The third proportional to 495,264 and 742,904 is: 1,114,368.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,264 : 742,904 = 742,904 : x
  2. Step 2: Convert to fraction form
    495,264/742,904 = 742,904/x
  3. Step 3: Cross multiply
    495,264x = 742,904 × 742,904
  4. Step 4: Simplify right side
    495,264x = 551,906,353,216
  5. Step 5: Solve for x
    x = 551,906,353,216/495,264
  6. Step 6: Final answer
    x = 1,114,368.00

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