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Finding the Third Proportional to 678,745 and 997,340.88

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Solution

The third proportional to 678,745 and 997,340.88 is: 1,465,482.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,745 : 997,340.88 = 997,340.88 : x
  2. Step 2: Convert to fraction form
    678,745/997,340.88 = 997,340.88/x
  3. Step 3: Cross multiply
    678,745x = 997,340.88 × 997,340.88
  4. Step 4: Simplify right side
    678,745x = 994,688,820,945.77
  5. Step 5: Solve for x
    x = 994,688,820,945.77/678,745
  6. Step 6: Final answer
    x = 1,465,482.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.