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Finding the Third Proportional to 245,617 and 390,570

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Solution

The third proportional to 245,617 and 390,570 is: 621,068.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,617 : 390,570 = 390,570 : x
  2. Step 2: Convert to fraction form
    245,617/390,570 = 390,570/x
  3. Step 3: Cross multiply
    245,617x = 390,570 × 390,570
  4. Step 4: Simplify right side
    245,617x = 152,544,924,900
  5. Step 5: Solve for x
    x = 152,544,924,900/245,617
  6. Step 6: Final answer
    x = 621,068.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.