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Finding the Third Proportional to 493,017 and 780,007.50

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Solution

The third proportional to 493,017 and 780,007.50 is: 1,234,058.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,017 : 780,007.50 = 780,007.50 : x
  2. Step 2: Convert to fraction form
    493,017/780,007.50 = 780,007.50/x
  3. Step 3: Cross multiply
    493,017x = 780,007.50 × 780,007.50
  4. Step 4: Simplify right side
    493,017x = 608,411,700,056.25
  5. Step 5: Solve for x
    x = 608,411,700,056.25/493,017
  6. Step 6: Final answer
    x = 1,234,058.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.