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Finding the Third Proportional to 315,307.50 and 691,935

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Solution

The third proportional to 315,307.50 and 691,935 is: 1,518,435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,307.50 : 691,935 = 691,935 : x
  2. Step 2: Convert to fraction form
    315,307.50/691,935 = 691,935/x
  3. Step 3: Cross multiply
    315,307.50x = 691,935 × 691,935
  4. Step 4: Simplify right side
    315,307.50x = 478,774,044,225
  5. Step 5: Solve for x
    x = 478,774,044,225/315,307.50
  6. Step 6: Final answer
    x = 1,518,435.32

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Why These Related Problems?

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