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Finding the Third Proportional to 315,479 and 688,051.75

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Solution

The third proportional to 315,479 and 688,051.75 is: 1,500,623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,479 : 688,051.75 = 688,051.75 : x
  2. Step 2: Convert to fraction form
    315,479/688,051.75 = 688,051.75/x
  3. Step 3: Cross multiply
    315,479x = 688,051.75 × 688,051.75
  4. Step 4: Simplify right side
    315,479x = 473,415,210,678.06
  5. Step 5: Solve for x
    x = 473,415,210,678.06/315,479
  6. Step 6: Final answer
    x = 1,500,623.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.