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Finding the Third Proportional to 245,088 and 530,887.50

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Solution

The third proportional to 245,088 and 530,887.50 is: 1,149,960.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,088 : 530,887.50 = 530,887.50 : x
  2. Step 2: Convert to fraction form
    245,088/530,887.50 = 530,887.50/x
  3. Step 3: Cross multiply
    245,088x = 530,887.50 × 530,887.50
  4. Step 4: Simplify right side
    245,088x = 281,841,537,656.25
  5. Step 5: Solve for x
    x = 281,841,537,656.25/245,088
  6. Step 6: Final answer
    x = 1,149,960.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.