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Finding the Third Proportional to 675,210 and 1,035,295.50

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Solution

The third proportional to 675,210 and 1,035,295.50 is: 1,587,412.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,210 : 1,035,295.50 = 1,035,295.50 : x
  2. Step 2: Convert to fraction form
    675,210/1,035,295.50 = 1,035,295.50/x
  3. Step 3: Cross multiply
    675,210x = 1,035,295.50 × 1,035,295.50
  4. Step 4: Simplify right side
    675,210x = 1,071,836,772,320.25
  5. Step 5: Solve for x
    x = 1,071,836,772,320.25/675,210
  6. Step 6: Final answer
    x = 1,587,412.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.