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Finding the Third Proportional to 487,920 and 761,389.50

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Solution

The third proportional to 487,920 and 761,389.50 is: 1,188,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,920 : 761,389.50 = 761,389.50 : x
  2. Step 2: Convert to fraction form
    487,920/761,389.50 = 761,389.50/x
  3. Step 3: Cross multiply
    487,920x = 761,389.50 × 761,389.50
  4. Step 4: Simplify right side
    487,920x = 579,713,970,710.25
  5. Step 5: Solve for x
    x = 579,713,970,710.25/487,920
  6. Step 6: Final answer
    x = 1,188,133.24

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.