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Finding the Third Proportional to 292,152 and 456,681

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Solution

The third proportional to 292,152 and 456,681 is: 713,866.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,152 : 456,681 = 456,681 : x
  2. Step 2: Convert to fraction form
    292,152/456,681 = 456,681/x
  3. Step 3: Cross multiply
    292,152x = 456,681 × 456,681
  4. Step 4: Simplify right side
    292,152x = 208,557,535,761
  5. Step 5: Solve for x
    x = 208,557,535,761/292,152
  6. Step 6: Final answer
    x = 713,866.53

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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.