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Finding the Third Proportional to 249,480 and 390,832

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Solution

The third proportional to 249,480 and 390,832 is: 612,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,480 : 390,832 = 390,832 : x
  2. Step 2: Convert to fraction form
    249,480/390,832 = 390,832/x
  3. Step 3: Cross multiply
    249,480x = 390,832 × 390,832
  4. Step 4: Simplify right side
    249,480x = 152,749,652,224
  5. Step 5: Solve for x
    x = 152,749,652,224/249,480
  6. Step 6: Final answer
    x = 612,272.13

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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.