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Finding the Third Proportional to 378,249,316.50 and 593,307,801

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Solution

The third proportional to 378,249,316.50 and 593,307,801 is: 930,640,536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,249,316.50 : 593,307,801 = 593,307,801 : x
  2. Step 2: Convert to fraction form
    378,249,316.50/593,307,801 = 593,307,801/x
  3. Step 3: Cross multiply
    378,249,316.50x = 593,307,801 × 593,307,801
  4. Step 4: Simplify right side
    378,249,316.50x = 352,014,146,727,455,616
  5. Step 5: Solve for x
    x = 352,014,146,727,455,616/378,249,316.50
  6. Step 6: Final answer
    x = 930,640,536.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.