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Finding the Third Proportional to 489,783 and 756,510.25

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Solution

The third proportional to 489,783 and 756,510.25 is: 1,168,492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,783 : 756,510.25 = 756,510.25 : x
  2. Step 2: Convert to fraction form
    489,783/756,510.25 = 756,510.25/x
  3. Step 3: Cross multiply
    489,783x = 756,510.25 × 756,510.25
  4. Step 4: Simplify right side
    489,783x = 572,307,758,355.06
  5. Step 5: Solve for x
    x = 572,307,758,355.06/489,783
  6. Step 6: Final answer
    x = 1,168,492.49

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.