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Finding the Third Proportional to 349,870.50 and 524,709

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Solution

The third proportional to 349,870.50 and 524,709 is: 786,918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,870.50 : 524,709 = 524,709 : x
  2. Step 2: Convert to fraction form
    349,870.50/524,709 = 524,709/x
  3. Step 3: Cross multiply
    349,870.50x = 524,709 × 524,709
  4. Step 4: Simplify right side
    349,870.50x = 275,319,534,681
  5. Step 5: Solve for x
    x = 275,319,534,681/349,870.50
  6. Step 6: Final answer
    x = 786,918.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.