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Finding the Third Proportional to 290,319 and 456,216

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Solution

The third proportional to 290,319 and 456,216 is: 716,911.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,319 : 456,216 = 456,216 : x
  2. Step 2: Convert to fraction form
    290,319/456,216 = 456,216/x
  3. Step 3: Cross multiply
    290,319x = 456,216 × 456,216
  4. Step 4: Simplify right side
    290,319x = 208,133,038,656
  5. Step 5: Solve for x
    x = 208,133,038,656/290,319
  6. Step 6: Final answer
    x = 716,911.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.