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Finding the Third Proportional to 458,106 and 713,335

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Solution

The third proportional to 458,106 and 713,335 is: 1,110,762.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,106 : 713,335 = 713,335 : x
  2. Step 2: Convert to fraction form
    458,106/713,335 = 713,335/x
  3. Step 3: Cross multiply
    458,106x = 713,335 × 713,335
  4. Step 4: Simplify right side
    458,106x = 508,846,822,225
  5. Step 5: Solve for x
    x = 508,846,822,225/458,106
  6. Step 6: Final answer
    x = 1,110,762.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.