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Finding the Third Proportional to 489,213 and 748,409.63

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Solution

The third proportional to 489,213 and 748,409.63 is: 1,144,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,213 : 748,409.63 = 748,409.63 : x
  2. Step 2: Convert to fraction form
    489,213/748,409.63 = 748,409.63/x
  3. Step 3: Cross multiply
    489,213x = 748,409.63 × 748,409.63
  4. Step 4: Simplify right side
    489,213x = 560,116,966,792.64
  5. Step 5: Solve for x
    x = 560,116,966,792.64/489,213
  6. Step 6: Final answer
    x = 1,144,934.76

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