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Finding the Third Proportional to 347,064 and 760,603.50

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Solution

The third proportional to 347,064 and 760,603.50 is: 1,666,890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,064 : 760,603.50 = 760,603.50 : x
  2. Step 2: Convert to fraction form
    347,064/760,603.50 = 760,603.50/x
  3. Step 3: Cross multiply
    347,064x = 760,603.50 × 760,603.50
  4. Step 4: Simplify right side
    347,064x = 578,517,684,212.25
  5. Step 5: Solve for x
    x = 578,517,684,212.25/347,064
  6. Step 6: Final answer
    x = 1,666,890.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.