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Finding the Third Proportional to 492,864.75 and 745,875.84

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Solution

The third proportional to 492,864.75 and 745,875.84 is: 1,128,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,864.75 : 745,875.84 = 745,875.84 : x
  2. Step 2: Convert to fraction form
    492,864.75/745,875.84 = 745,875.84/x
  3. Step 3: Cross multiply
    492,864.75x = 745,875.84 × 745,875.84
  4. Step 4: Simplify right side
    492,864.75x = 556,330,774,289.77
  5. Step 5: Solve for x
    x = 556,330,774,289.77/492,864.75
  6. Step 6: Final answer
    x = 1,128,769.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.