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Finding the Third Proportional to 235,054 and 507,513.25

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Solution

The third proportional to 235,054 and 507,513.25 is: 1,095,789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,054 : 507,513.25 = 507,513.25 : x
  2. Step 2: Convert to fraction form
    235,054/507,513.25 = 507,513.25/x
  3. Step 3: Cross multiply
    235,054x = 507,513.25 × 507,513.25
  4. Step 4: Simplify right side
    235,054x = 257,569,698,925.56
  5. Step 5: Solve for x
    x = 257,569,698,925.56/235,054
  6. Step 6: Final answer
    x = 1,095,789.47

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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.