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Finding the Third Proportional to 378,249,319 and 593,307,804

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Solution

The third proportional to 378,249,319 and 593,307,804 is: 930,640,539.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,249,319 : 593,307,804 = 593,307,804 : x
  2. Step 2: Convert to fraction form
    378,249,319/593,307,804 = 593,307,804/x
  3. Step 3: Cross multiply
    378,249,319x = 593,307,804 × 593,307,804
  4. Step 4: Simplify right side
    378,249,319x = 352,014,150,287,302,400
  5. Step 5: Solve for x
    x = 352,014,150,287,302,400/378,249,319
  6. Step 6: Final answer
    x = 930,640,539.47

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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.