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Finding the Third Proportional to 489,024 and 748,066

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Solution

The third proportional to 489,024 and 748,066 is: 1,144,325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,024 : 748,066 = 748,066 : x
  2. Step 2: Convert to fraction form
    489,024/748,066 = 748,066/x
  3. Step 3: Cross multiply
    489,024x = 748,066 × 748,066
  4. Step 4: Simplify right side
    489,024x = 559,602,740,356
  5. Step 5: Solve for x
    x = 559,602,740,356/489,024
  6. Step 6: Final answer
    x = 1,144,325.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.