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Finding the Third Proportional to 495,897 and 736,555.50

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Solution

The third proportional to 495,897 and 736,555.50 is: 1,094,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,897 : 736,555.50 = 736,555.50 : x
  2. Step 2: Convert to fraction form
    495,897/736,555.50 = 736,555.50/x
  3. Step 3: Cross multiply
    495,897x = 736,555.50 × 736,555.50
  4. Step 4: Simplify right side
    495,897x = 542,514,004,580.25
  5. Step 5: Solve for x
    x = 542,514,004,580.25/495,897
  6. Step 6: Final answer
    x = 1,094,005.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.