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Finding the Third Proportional to 596,394 and 1,287,374.50

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Solution

The third proportional to 596,394 and 1,287,374.50 is: 2,778,923.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,394 : 1,287,374.50 = 1,287,374.50 : x
  2. Step 2: Convert to fraction form
    596,394/1,287,374.50 = 1,287,374.50/x
  3. Step 3: Cross multiply
    596,394x = 1,287,374.50 × 1,287,374.50
  4. Step 4: Simplify right side
    596,394x = 1,657,333,103,250.25
  5. Step 5: Solve for x
    x = 1,657,333,103,250.25/596,394
  6. Step 6: Final answer
    x = 2,778,923.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.