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Finding the Third Proportional to 295,632 and 456,746

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Solution

The third proportional to 295,632 and 456,746 is: 705,664.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,632 : 456,746 = 456,746 : x
  2. Step 2: Convert to fraction form
    295,632/456,746 = 456,746/x
  3. Step 3: Cross multiply
    295,632x = 456,746 × 456,746
  4. Step 4: Simplify right side
    295,632x = 208,616,908,516
  5. Step 5: Solve for x
    x = 208,616,908,516/295,632
  6. Step 6: Final answer
    x = 705,664.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.