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Finding the Third Proportional to 292,353 and 456,987

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Solution

The third proportional to 292,353 and 456,987 is: 714,332.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,353 : 456,987 = 456,987 : x
  2. Step 2: Convert to fraction form
    292,353/456,987 = 456,987/x
  3. Step 3: Cross multiply
    292,353x = 456,987 × 456,987
  4. Step 4: Simplify right side
    292,353x = 208,837,118,169
  5. Step 5: Solve for x
    x = 208,837,118,169/292,353
  6. Step 6: Final answer
    x = 714,332.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.