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Finding the Third Proportional to 328,362.75 and 712,773

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Solution

The third proportional to 328,362.75 and 712,773 is: 1,547,207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,362.75 : 712,773 = 712,773 : x
  2. Step 2: Convert to fraction form
    328,362.75/712,773 = 712,773/x
  3. Step 3: Cross multiply
    328,362.75x = 712,773 × 712,773
  4. Step 4: Simplify right side
    328,362.75x = 508,045,349,529
  5. Step 5: Solve for x
    x = 508,045,349,529/328,362.75
  6. Step 6: Final answer
    x = 1,547,207.62

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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.