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Finding the Third Proportional to 256,249,011.75 and 382,694,338.50

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Solution

The third proportional to 256,249,011.75 and 382,694,338.50 is: 571,533,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,249,011.75 : 382,694,338.50 = 382,694,338.50 : x
  2. Step 2: Convert to fraction form
    256,249,011.75/382,694,338.50 = 382,694,338.50/x
  3. Step 3: Cross multiply
    256,249,011.75x = 382,694,338.50 × 382,694,338.50
  4. Step 4: Simplify right side
    256,249,011.75x = 146,454,956,719,952,576
  5. Step 5: Solve for x
    x = 146,454,956,719,952,576/256,249,011.75
  6. Step 6: Final answer
    x = 571,533,742.59

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