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Finding the Third Proportional to 716,612 and 1,035,916.50

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Solution

The third proportional to 716,612 and 1,035,916.50 is: 1,497,495.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,612 : 1,035,916.50 = 1,035,916.50 : x
  2. Step 2: Convert to fraction form
    716,612/1,035,916.50 = 1,035,916.50/x
  3. Step 3: Cross multiply
    716,612x = 1,035,916.50 × 1,035,916.50
  4. Step 4: Simplify right side
    716,612x = 1,073,122,994,972.25
  5. Step 5: Solve for x
    x = 1,073,122,994,972.25/716,612
  6. Step 6: Final answer
    x = 1,497,495.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.