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Finding the Third Proportional to 478,856.81 and 714,132

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Solution

The third proportional to 478,856.81 and 714,132 is: 1,065,004.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,856.81 : 714,132 = 714,132 : x
  2. Step 2: Convert to fraction form
    478,856.81/714,132 = 714,132/x
  3. Step 3: Cross multiply
    478,856.81x = 714,132 × 714,132
  4. Step 4: Simplify right side
    478,856.81x = 509,984,513,424
  5. Step 5: Solve for x
    x = 509,984,513,424/478,856.81
  6. Step 6: Final answer
    x = 1,065,004.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.