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Finding the Third Proportional to 607,384.50 and 942,916.50

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Solution

The third proportional to 607,384.50 and 942,916.50 is: 1,463,803.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,384.50 : 942,916.50 = 942,916.50 : x
  2. Step 2: Convert to fraction form
    607,384.50/942,916.50 = 942,916.50/x
  3. Step 3: Cross multiply
    607,384.50x = 942,916.50 × 942,916.50
  4. Step 4: Simplify right side
    607,384.50x = 889,091,525,972.25
  5. Step 5: Solve for x
    x = 889,091,525,972.25/607,384.50
  6. Step 6: Final answer
    x = 1,463,803.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.