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Finding the Third Proportional to 245,724 and 525,603

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Solution

The third proportional to 245,724 and 525,603 is: 1,124,263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,724 : 525,603 = 525,603 : x
  2. Step 2: Convert to fraction form
    245,724/525,603 = 525,603/x
  3. Step 3: Cross multiply
    245,724x = 525,603 × 525,603
  4. Step 4: Simplify right side
    245,724x = 276,258,513,609
  5. Step 5: Solve for x
    x = 276,258,513,609/245,724
  6. Step 6: Final answer
    x = 1,124,263.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.